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Diverse optical solitons to the Radhakrishnan–Kundu–Lakshmanan equation for the light pulses.
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- Journal of Nonlinear Optical Physics & Materials, 2024, v. 33, n. 6, p. 1, doi. 10.1142/S0218863523500741
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Bilinear auto-Bäcklund transformations, breather and mixed lump–kink solutions for a (3+1)-dimensional integrable fourth-order nonlinear equation in a fluid.
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- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2024, v. 38, n. 18, p. 1, doi. 10.1142/S0217979224502321
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Painlevé Analysis, Bäcklund Transformation and Soliton Solutions of the (2+1)-dimensional Variable-coefficient Boussinesq Equation.
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- International Journal of Theoretical Physics, 2024, v. 63, n. 7, p. 1, doi. 10.1007/s10773-024-05670-3
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- Article
Bilinearization and new center-controlled N-rogue solutions to a (3+1)-dimensional generalized KdV-type equation in plasmas via direct symbolic approach.
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- Nonlinear Dynamics, 2024, v. 112, n. 13, p. 11373, doi. 10.1007/s11071-024-09626-4
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Bifurcation, Traveling Wave Solutions and Dynamical Analysis in the (2+1)-Dimensional Extended Vakhnenko–Parkes Equation.
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- Journal of Nonlinear Mathematical Physics, 2024, v. 31, n. 1, p. 1, doi. 10.1007/s44198-024-00202-3
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Optical solutions with Kudryashov's arbitrary type of generalized non-local nonlinearity and refractive index via the new Kudryashov approach.
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- Optical & Quantum Electronics, 2024, v. 56, n. 6, p. 1, doi. 10.1007/s11082-024-06820-x
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Data-driven solitons dynamics and parameters discovery in the generalized nonlinear dispersive mKdV-type equation via deep neural networks learning.
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- Nonlinear Dynamics, 2024, v. 112, n. 9, p. 7433, doi. 10.1007/s11071-024-09454-6
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An exploration of the (3+1)-dimensional negative order KdV-CBS model: Wave solutions, Bäcklund transformation, and complexiton dynamics.
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- PLoS ONE, 2024, v. 19, n. 4, p. 1, doi. 10.1371/journal.pone.0296978
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Rogue waves and their dynamics in the Ito's system with the nonzero constant background.
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- Nonlinear Dynamics, 2024, v. 112, n. 8, p. 6547, doi. 10.1007/s11071-024-09382-5
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Solitary and Periodic Wave Solutions of Fractional Zoomeron Equation.
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- Fractal & Fractional, 2024, v. 8, n. 4, p. 222, doi. 10.3390/fractalfract8040222
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Non-collisional dynamics of (2+1)-dimensional Broer-Kaup-Kupershmidt system.
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- Nonlinear Dynamics, 2024, v. 112, n. 7, p. 5555, doi. 10.1007/s11071-024-09304-5
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On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model.
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- Theoretical & Mathematical Physics, 2024, v. 219, n. 1, p. 539, doi. 10.1134/S0040577924040020
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Superfield Bäcklund and Darboux transformations of an supersymmetric coupled dispersionless integrable system.
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- Theoretical & Mathematical Physics, 2024, v. 219, n. 1, p. 629, doi. 10.1134/S0040577924040081
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- Article
Robust inverse scattering analysis of discrete high-order nonlinear Schrödinger equation.
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- Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2024, v. 79, n. 4, p. 391, doi. 10.1515/zna-2023-0295
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Integrability, bilinearization, exact traveling wave solutions, lump and lump-multi-kink solutions of a (3+1)-dimensional negative-order KdV–Calogero–Bogoyavlenskii–Schiff equation.
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- Nonlinear Dynamics, 2024, v. 112, n. 6, p. 4727, doi. 10.1007/s11071-023-09028-y
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Bäcklund transformations of multi-component Boussinesq and Degasperis–Procesi equations.
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- International Journal of Geometric Methods in Modern Physics, 2024, v. 21, n. 3, p. 1, doi. 10.1142/S021988782450066X
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Localized wave solutions and localized-kink solutions to a (3+1)-dimensional nonlinear evolution equation.
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- Nonlinear Dynamics, 2024, v. 112, n. 5, p. 3749, doi. 10.1007/s11071-023-09198-9
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Transforming a Quartic Equation to the Binomial Form.
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- Resonance: Journal of Science Education, 2024, v. 29, n. 3, p. 375, doi. 10.1007/s12045-024-0375-z
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Soliton solutions, Darboux transformation of the variable coefficient nonlocal Fokas–Lenells equation.
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- Nonlinear Dynamics, 2024, v. 112, n. 4, p. 2869, doi. 10.1007/s11071-023-09192-1
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Analysis of solitary wave solutions in the fractional-order Kundu–Eckhaus system.
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- Scientific Reports, 2024, v. 14, n. 1, p. 1, doi. 10.1038/s41598-024-53330-7
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Dynamic Modeling and Simulation of a Folding-Link Flexible Manipulator Based on the Bezier Interpolation Method.
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- Journal of Vibration Engineering & Technologies, 2024, v. 12, n. 2, p. 1525, doi. 10.1007/s42417-023-00923-7
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Multi-soliton solutions of a variable coefficient Schrödinger equation derived from vorticity equation.
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- Nonlinear Dynamics, 2024, v. 112, n. 3, p. 2197, doi. 10.1007/s11071-023-09158-3
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Integrability and exact solutions of the (2+1)-dimensional variable coefficient Ito equation.
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- Nonlinear Dynamics, 2024, v. 112, n. 2, p. 1307, doi. 10.1007/s11071-023-09090-6
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Schwarzian derivative, Painlevé XXV–Ermakov equation, and Bäcklund transformations.
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- Mathematische Nachrichten, 2024, v. 297, n. 1, p. 83, doi. 10.1002/mana.202200180
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The exact solutions to a new type space reverse nonlocal Lakshmanan–Porserzian–Daniel equation.
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- Nonlinear Dynamics, 2024, v. 112, n. 1, p. 591, doi. 10.1007/s11071-023-09057-7
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Integrability, lump solutions, breather solutions and hybrid solutions for the (2+1)-dimensional variable coefficient Korteweg-de Vries equation.
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- Nonlinear Dynamics, 2024, v. 112, n. 1, p. 619, doi. 10.1007/s11071-023-09062-w
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Periodic solution and asymptotic behavior of the three-dimensional sixth-order Boussinesq equation in shallow water waves.
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- Nonlinear Dynamics, 2024, v. 112, n. 1, p. 643, doi. 10.1007/s11071-023-09072-8
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Solution of High-Order Nonlinear Integrable Systems Using Darboux Transformation.
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- Axioms (2075-1680), 2023, v. 12, n. 11, p. 1032, doi. 10.3390/axioms12111032
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On Bäcklund transformations for some second-order nonlinear differential equations.
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- Theoretical & Mathematical Physics, 2023, v. 217, n. 2, p. 1755, doi. 10.1134/S0040577923110107
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- Article
Variational Bihamiltonian Cohomologies and Integrable Hierarchies III: Linear Reciprocal Transformations.
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- Communications in Mathematical Physics, 2023, v. 403, n. 2, p. 1109, doi. 10.1007/s00220-023-04817-3
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Bifurcations and Exact Solutions of the Generalized Radhakrishnan–Kundu–Lakshmanan Equation with the Polynomial Law.
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- Mathematics (2227-7390), 2023, v. 11, n. 20, p. 4351, doi. 10.3390/math11204351
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Rogue waves on the periodic wave background in the Kadomtsev–Petviashvili I equation.
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- Nonlinear Dynamics, 2023, v. 111, n. 19, p. 18255, doi. 10.1007/s11071-023-08758-3
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Lax integrability and exact solutions of the generalized (3+1) dimensional Ito equation.
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- Nonlinear Dynamics, 2023, v. 111, n. 19, p. 18313, doi. 10.1007/s11071-023-08797-w
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Darboux Transformation and Soliton Solutions for a Nonlocal Two-Component Complex Modified Korteweg–de Vries Equation.
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- Journal of Nonlinear Mathematical Physics, 2023, v. 30, n. 3, p. 1011, doi. 10.1007/s44198-023-00112-w
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- Article
Applications of the R-Matrix Method in Integrable Systems.
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- Symmetry (20738994), 2023, v. 15, n. 9, p. 1623, doi. 10.3390/sym15091623
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On Asymptotic Stability of the Sine-Gordon Kink in the Energy Space.
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- Communications in Mathematical Physics, 2023, v. 401, n. 3, p. 581, doi. 10.1007/s00220-023-04736-3
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- Article
Adaptive global prescribed performance tracking control of uncertain robotic systems with unknown control directions.
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- International Journal of Robust & Nonlinear Control, 2023, v. 33, n. 11, p. 5956, doi. 10.1002/rnc.6675
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Rogue periodic waves and hybrid nonlinear waves in the (2+1)-dimensional CDGKS equation.
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- Nonlinear Dynamics, 2023, v. 111, n. 14, p. 13425, doi. 10.1007/s11071-023-08539-y
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- Article
Lump-Type Solutions, Lump Solutions, and Mixed Rogue Waves for Coupled Nonlinear Generalized Zakharov Equations.
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- Mathematics (2227-7390), 2023, v. 11, n. 13, p. 2856, doi. 10.3390/math11132856
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Painlevé integrability and new soliton solutions for (2+1)-dimensional Bogoyavlensky–Konopelchenko equation and generalized Bogoyavlensky–Konopelchenko equation with variable coefficients in fluid mechanics.
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- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2023, v. 37, n. 14, p. 1, doi. 10.1142/S021797922350131X
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- Article
A NEW FRACTAL MODIFIED BENJAMIN–BONA–MAHONY EQUATION: ITS GENERALIZED VARIATIONAL PRINCIPLE AND ABUNDANT EXACT SOLUTIONS.
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- Fractals, 2023, v. 31, n. 5, p. 1, doi. 10.1142/S0218348X23500470
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A new (n+1)-dimensional generalized Kadomtsev–Petviashvili equation: integrability characteristics and localized solutions.
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- Nonlinear Dynamics, 2023, v. 111, n. 10, p. 9495, doi. 10.1007/s11071-023-08343-8
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- Article
Radially symmetric stationary solutions for certain chemotaxis systems in higher dimensions: A geometric approach.
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- Discrete & Continuous Dynamical Systems: Series A, 2023, v. 43, n. 5, p. 1, doi. 10.3934/dcds.2022188
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Periodic Solutions for a Neutral System with Two Volterra Terms.
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- Mathematics (2227-7390), 2023, v. 11, n. 9, p. 2204, doi. 10.3390/math11092204
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Novel evolutionary behaviors of localized wave solutions and bilinear auto-Bäcklund transformations for the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation.
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- Nonlinear Dynamics, 2023, v. 111, n. 9, p. 8617, doi. 10.1007/s11071-023-08256-6
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- Article
Auto-Bäcklund transformations and soliton solutions on the nonzero background for a (3+1)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-Schif equation in a fluid.
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- Nonlinear Dynamics, 2023, v. 111, n. 9, p. 8647, doi. 10.1007/s11071-023-08260-w
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A generalized (2+1)-dimensional Hirota bilinear equation: integrability, solitons and invariant solutions.
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- Nonlinear Dynamics, 2023, v. 111, n. 5, p. 4593, doi. 10.1007/s11071-022-08036-8
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Dynamical behavior of multiwave interaction solutions for the (3+1)-dimensional Kadomtsev-Petviashvili-Bogoyavlensky-Konopelchenko equation.
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- Nonlinear Dynamics, 2023, v. 111, n. 5, p. 4753, doi. 10.1007/s11071-022-08097-9
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- Article
Painlevé integrability and analytical solutions of variable coefficients negative order KdV–Calogero–Bogoyavlenskii–Schiff equation using auto-Bäcklund transformation.
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- Optical & Quantum Electronics, 2023, v. 55, n. 2, p. 1, doi. 10.1007/s11082-022-04452-7
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- Article
Oscillation of Third-Order Nonlinear Generalized Difference Equation with Multiple Neutral Terms.
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- Mathematical Problems in Engineering, 2022, p. 1, doi. 10.1155/2022/8103094
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