Analytic Investigation of a Generalized Variable-Coefficient KdV Equation with External-Force Term.
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- Mathematics (2227-7390), 2025, v. 13, n. 10, p. 1642, doi. 10.3390/math13101642
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Works matching DE "BACKLUND transformations"
Results: 437
1
2
Solitons, Cnoidal Waves and Nonlinear Effects in Oceanic Shallow Water Waves.
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- Fractal & Fractional, 2025, v. 9, n. 5, p. 305, doi. 10.3390/fractalfract9050305
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3
The Euler relativistic gasdynamic system. Chaplygin-Kármán-Tsien laws and substitution principle.
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- Rendiconti Lincei - Matematica e Applicazioni, 2024, v. 35, n. 3, p. 447, doi. 10.4171/RLM/1047
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4
A Remark on the Linearized Stability of Positive Solutions for Systems Involving the p-Laplacian.
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- Positivity, 2007, v. 11, n. 2, p. 351, doi. 10.1007/s11117-006-2021-2
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5
On meaningful transformation equations.
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- Aequationes Mathematicae, 2019, v. 93, n. 4, p. 813, doi. 10.1007/s00010-018-0628-6
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6
On a family of Bäcklund transformations.
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- Doklady Mathematics, 2016, v. 93, n. 3, p. 292, doi. 10.1134/S1064562416030182
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7
THE FIRST INTEGRAL METHOD FOR TWO FRACTIONAL NON-LINEAR BIOLOGICAL MODELS.
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- Discrete & Continuous Dynamical Systems - Series S, 2019, v. 12, n. 3, p. 487, doi. 10.3934/dcdss.2019032
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8
A SINGULAR LIMIT PROBLEM FOR THE IBRAGIMOV-SHABAT EQUATION.
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- Discrete & Continuous Dynamical Systems - Series S, 2016, v. 9, n. 3, p. 661, doi. 10.3934/dcdss.2016020
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9
Vector solitons of a one-dimensional spatially inhomogeneous coupled nonlinear Schrödinger equation with a double well potential.
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- European Physical Journal D (EPJ D), 2011, v. 61, n. 3, p. 677, doi. 10.1140/epjd/e2010-09660-y
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10
Bäcklund transformations, Lax pair and solutions of a Sharma-Tasso-Olver-Burgers equation for the nonlinear dispersive waves.
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- Modern Physics Letters B, 2021, v. 35, n. 35, p. 1, doi. 10.1142/S0217984921504212
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11
Bilinear Bäcklund transformation, breather- and travelling-wave solutions for a (2+1)-dimensional extended Kadomtsev–Petviashvili II equation in fluid mechanics.
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- Modern Physics Letters B, 2021, v. 35, n. 19, p. N.PAG, doi. 10.1142/S0217984921503152
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12
N-soliton solutions and localized wave interaction solutions of a (3+1)-dimensional potential-Yu–Toda–Sasa–Fukuyamaf equation.
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- Modern Physics Letters B, 2021, v. 35, n. 10, p. N.PAG, doi. 10.1142/S0217984921502778
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13
Scaling and hetero-/auto-Bäcklund transformations with solitons of an extended coupled (2+1)-dimensional Burgers system for the wave processes in hydrodynamics and acoustics.
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- Modern Physics Letters B, 2020, v. 34, n. 34, p. N.PAG, doi. 10.1142/S0217984920503893
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14
The integrability of the coupled Ramani equation with binary Bell polynomials.
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- Modern Physics Letters B, 2020, v. 34, n. 32, p. N.PAG, doi. 10.1142/S0217984920503716
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- Article
15
Nonlocal symmetries, Bäcklund transformation and interaction solutions for the integrable Boussinesq equation.
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- Modern Physics Letters B, 2020, v. 34, n. 26, p. N.PAG, doi. 10.1142/S0217984920502887
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16
Darboux transformation and soliton solutions of the (2+1)-dimensional Schwarz–Korteweg–de Vries equation.
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- Modern Physics Letters B, 2020, v. 34, n. 25, p. N.PAG, doi. 10.1142/S021798492050270X
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17
Decomposition, Darboux transformation and soliton solutions for the (2+1)-dimensional integrable nonlocal "breaking soliton" equation.
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- Modern Physics Letters B, 2020, v. 34, n. 24, p. N.PAG, doi. 10.1142/S0217984920502516
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18
Some symmetries and similarity solutions of the long-water wave hierarchy.
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- Modern Physics Letters B, 2019, v. 33, n. 34, p. N.PAG, doi. 10.1142/S021798491950430X
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- Article
19
Grammian solutions for a (2+1)-dimensional integrable coupled modified Date–Jimbo–Kashiwara–Miwa equation.
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- Modern Physics Letters B, 2019, v. 33, n. 10, p. N.PAG, doi. 10.1142/S0217984919501197
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20
Bäcklund transformation of Frobenius Painlevé equations.
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- Modern Physics Letters B, 2018, v. 32, n. 17, p. N.PAG, doi. 10.1142/S0217984918501816
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21
Solitons interaction and integrability for a (2+1)-dimensional variable-coefficient Broer-Kaup system in water waves.
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- Modern Physics Letters B, 2018, v. 32, n. 8, p. 1, doi. 10.1142/S0217984917502682
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22
Soliton interactions and Bäcklund transformation for a (2+1)-dimensional variable-coefficient modified Kadomtsev-Petviashvili equation in fluid dynamics.
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- Modern Physics Letters B, 2018, v. 32, n. 2, p. -1, doi. 10.1142/S0217984917501706
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23
Nonlocal symmetries, solitary waves and cnoidal periodic waves of the (2+1)-dimensional breaking soliton equation.
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- Modern Physics Letters B, 2017, v. 31, n. 36, p. -1, doi. 10.1142/S0217984917503481
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24
Bäcklund transformation, analytic soliton solutions and numerical simulation for a (2+1)-dimensional complex Ginzburg-Landau equation in a nonlinear fiber.
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- Modern Physics Letters B, 2017, v. 31, n. 28, p. -1, doi. 10.1142/S021798491750258X
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25
Bilinear form, bilinear Bäcklund transformation and dynamic features of the soliton solutions for a variable-coefficient (3+1)-dimensional generalized shallow water wave equation.
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- Modern Physics Letters B, 2017, v. 31, n. 22, p. -1, doi. 10.1142/S0217984917501263
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26
Analysis of the generalized (2+1)-dimensional Nizhnik-Novikov-Veselov equations with variable coefficients in an inhomogeneous medium.
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- Modern Physics Letters B, 2017, v. 31, n. 22, p. -1, doi. 10.1142/S0217984917501354
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27
Solitons, Bäcklund transformation and Lax pair for a generalized variable-coefficient Boussinesq system in the two-layered fluid flow.
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- Modern Physics Letters B, 2016, v. 30, n. 32/33, p. -1, doi. 10.1142/S0217984916503838
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28
Bright optical solitons or light bullets for a (3 + 1)-dimensional generalized nonlinear Schrödinger equation with the distributed coefficients.
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- Modern Physics Letters B, 2016, v. 30, n. 25, p. -1, doi. 10.1142/S0217984916503061
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29
Solitons, Bäcklund transformation and Lax pair for a (2+1)-dimensional B-type Kadomtsev-Petviashvili equation in the fluid/plasma mechanics.
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- Modern Physics Letters B, 2016, v. 30, n. 25, p. -1, doi. 10.1142/S0217984916502651
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30
Nonlocal symmetries and interaction solutions of the Sawada-Kotera equation.
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- Modern Physics Letters B, 2016, v. 30, n. 23, p. -1, doi. 10.1142/S0217984916502936
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31
The fermionic covariant prolongation structure of the super generalized Hirota equation.
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- Modern Physics Letters B, 2016, v. 30, n. 19, p. -1, doi. 10.1142/S0217984916502511
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32
Singular HJB equations with applications to KPZ on the real line.
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- Probability Theory & Related Fields, 2022, v. 183, n. 3/4, p. 789, doi. 10.1007/s00440-022-01137-w
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33
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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34
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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35
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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36
Extracted different types of optical lumps and breathers to the new generalized stochastic potential-KdV equation via using the Cole-Hopf transformation and Hirota bilinear method.
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- Optical & Quantum Electronics, 2022, v. 54, n. 9, p. 1, doi. 10.1007/s11082-022-03984-2
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37
Auto-Bäcklund transformations and solitary wave solutions for the nonlinear evolution equation.
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- Optical & Quantum Electronics, 2018, v. 50, n. 1, p. 1, doi. 10.1007/s11082-017-1291-1
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- Article
38
Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice.
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- Journal of Difference Equations & Applications, 2009, v. 15, n. 3, p. 233, doi. 10.1080/10236190802101695
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39
Complex high order Toda and Volterra lattices.
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- Journal of Difference Equations & Applications, 2009, v. 15, n. 2, p. 197, doi. 10.1080/10236190802019491
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40
HEAT TRANSFER FROM THE COLD WALL OF A SQUARE CAVITY TO THE HOT ONE BY OSCILLATORY NATURAL CONVECTION.
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- Numerical Heat Transfer: Part A -- Applications, 2005, v. 47, n. 6, p. 609, doi. 10.1080/10407780590911567
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41
Canonical Bäcklund Transformation for a Discrete Integrable Chain and its Associated Properties.
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- Modern Physics Letters A, 2003, v. 18, n. 16, p. 1127, doi. 10.1142/S0217732303010788
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42
A System of the Coupled Korteweg-De Vries Equations and Computerized Symbolic Computation.
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- International Journal of Modern Physics C: Computational Physics & Physical Computation, 2001, v. 12, n. 3, p. 361, doi. 10.1142/S0129183101001778
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43
A Note on the Regularity of Solutions for Non-Newtonian Filtration Equations.
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- Southeast Asian Bulletin of Mathematics, 2006, v. 30, n. 5, p. 989
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44
Nondegeneracy, Morse Index and Orbital Stability of the KP-I Lump Solution.
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- Archive for Rational Mechanics & Analysis, 2019, v. 234, n. 3, p. 1335, doi. 10.1007/s00205-019-01413-5
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- Article
45
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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46
Bäcklund Transformation for Solving a (3+1)-Dimensional Integrable Equation.
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- Axioms (2075-1680), 2025, v. 14, n. 3, p. 225, doi. 10.3390/axioms14030225
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47
Kink Wave Phenomena in the Nonlinear Partial Differential Equation Representing the Transmission Line Model of Microtubules for Nanoionic Currents.
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- Axioms (2075-1680), 2024, v. 13, n. 10, p. 686, doi. 10.3390/axioms13100686
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48
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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49
Bäcklund Transformations for Liouville Equations with Exponential Nonlinearity.
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- Axioms (2075-1680), 2021, v. 10, n. 4, p. 337, doi. 10.3390/axioms10040337
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50
Bäcklund Transformations for Nonlinear Differential Equations and Systems.
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- Axioms (2075-1680), 2019, v. 8, n. 2, p. 45, doi. 10.3390/axioms8020045
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- Article