On the invariant analysis and integrability of the time-fractional potential KdV equation.
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- Pramana: Journal of Physics, 2025, v. 99, n. 3, p. 1, doi. 10.1007/s12043-025-02948-x
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Works matching DE "KORTEWEG-de Vries equation"
Results: 1441
1
2
Invariant subspace method for two-coupled time-fractional nonlinear partial differential equations of third-order.
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- Modern Physics Letters A, 2025, v. 40, n. 25, p. 1, doi. 10.1142/S0217732325500919
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3
A KDV-TYPE EQUATION: LAX PAIR AND TRAVELLING WAVE SOLUTION.
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- Mathematics Student, 2024, v. 93, n. 1/2, p. 3
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4
Solitonic properties for a nonlocal extended complex modified Korteweg-de Vries equation with the variable coefficients.
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- Nonlinear Dynamics, 2025, v. 113, n. 16, p. 21689, doi. 10.1007/s11071-025-11272-3
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5
Integrability and localized wave solutions of the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation with variable coefficients.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2025, v. 40, n. 23, p. 1, doi. 10.1142/S0217751X25500824
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6
Analysis of the Generalized Ostrovsky Equation in the Propagation of Surface and Internal Waves in Rotating Fluids.
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- Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 12, p. 12427, doi. 10.1002/mma.11036
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7
Analytical Multiple Soliton Solutions for a Class of Coupled Fractional Order Under Time‐Dependent Variable Coefficient Korteweg–de Vries.
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- Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 12, p. 11652, doi. 10.1002/mma.10958
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8
Simplified linearized KdV equation and application to KdV equation.
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- Nonlinear Studies, 2025, v. 32, n. 2, p. 463
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9
NEW EXACT SOLUTIONS OF THE FRACTIONAL KORTEWEG-DE-VRIES BENJAMI-BONA MAHONY AND MODIFIED KORTEWEG-DE-VRIES ZUKHAROV-KUZNETSOV EQUATIONS VIA A POWERFUL SINE-COSINE METHOD.
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- Bayero Journal of Pure & Applied Sciences, 2024, v. 15, p. 301, doi. 10.4314/bajopas.v15i1.46S
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10
Traveling Wave Solutions of the Space-Time Fractional-Order Korteweg-de Vries Equation.
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- IAENG International Journal of Applied Mathematics, 2025, v. 55, n. 7, p. 2211
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11
Nonlinear Airy Light Bullets in a 3D Self‐Defocusing Medium.
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- Annalen der Physik, 2018, v. 530, n. 8, p. 1, doi. 10.1002/andp.201800059
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12
Conservative Galerkin methods for dispersive Hamiltonian problems.
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- Calcolo, 2021, v. 58, n. 3, p. 1, doi. 10.1007/s10092-021-00423-8
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- Article
13
A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations.
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- Calcolo, 2016, v. 53, n. 1, p. 1, doi. 10.1007/s10092-014-0132-x
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- Article
14
Stability properties of a higher order scheme for a GKdV-4 equation modelling surface water waves.
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- Calcolo, 2012, v. 49, n. 4, p. 269, doi. 10.1007/s10092-012-0055-3
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15
Inelastic interaction of nearly equal solitons for the quartic gKdV equation.
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- Inventiones Mathematicae, 2011, v. 183, n. 3, p. 563, doi. 10.1007/s00222-010-0283-6
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16
Universality of the Break-up Profile for the KdV Equation in the Small Dispersion Limit Using the Riemann-Hilbert Approach.
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- Communications in Mathematical Physics, 2009, v. 286, n. 3, p. 979, doi. 10.1007/s00220-008-0680-5
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17
Stability of Two Soliton Collision for Nonintegrable gKdV Equations.
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- Communications in Mathematical Physics, 2009, v. 286, n. 1, p. 39, doi. 10.1007/s00220-008-0685-0
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18
KdV Preserves White Noise.
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- Communications in Mathematical Physics, 2008, v. 277, n. 3, p. 707, doi. 10.1007/s00220-007-0372-6
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19
Global Existence and Blow-Up Phenomena for the Degasperis-Procesi Equation.
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- Communications in Mathematical Physics, 2006, v. 267, n. 3, p. 801, doi. 10.1007/s00220-006-0082-5
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- Article
20
Orbital Stability of Double Solitons for the Benjamin-Ono Equation.
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- Communications in Mathematical Physics, 2006, v. 262, n. 3, p. 757, doi. 10.1007/s00220-005-1484-5
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21
Characteristic Properties of the Scattering Data for the mKdV Equation on the Half-Line.
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- Communications in Mathematical Physics, 2005, v. 253, n. 1, p. 51, doi. 10.1007/s00220-004-1206-4
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22
Weighted identities for solutions of generalized Korteweg-de Vries equations.
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- Mathematical Notes, 2011, v. 89, n. 3/4, p. 382, doi. 10.1134/S0001434611030102
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23
On the singular solutions of the Korteweg-de Vries equation.
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- Mathematical Notes, 2010, v. 88, n. 5/6, p. 741, doi. 10.1134/S0001434610110131
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24
Weak solutions of a mixed problem in a half-strip for a generalized Kawahara equation.
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- Mathematical Notes, 2009, v. 85, n. 1/2, p. 90, doi. 10.1134/S000143460901009X
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25
Cauchy problem for the Korteweg-de Vries equation in the case of a nonsmooth unbounded initial function.
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- Mathematical Notes, 2008, v. 83, n. 1/2, p. 107, doi. 10.1134/S0001434608010136
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26
Asymptotic soliton-like solutions to the Benjamin–Bona–Mahony equation with variable coefficients and a strong singularity.
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- Journal of Mathematical Sciences, 2021, v. 258, n. 3, p. 326, doi. 10.1007/s10958-021-05550-9
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27
Existence of Countably Many Cycles in Hyperbolic Systems of Differential Equations with Transformed Argument.
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- Journal of Mathematical Sciences, 2016, v. 215, n. 3, p. 341, doi. 10.1007/s10958-016-2842-x
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28
Additional Reductions in the K -Constrained Modified KP Hierarchy.
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- Journal of Mathematical Sciences, 2016, v. 212, n. 3, p. 349, doi. 10.1007/s10958-015-2669-x
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29
Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids.
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- Mathematics & Mechanics of Solids, 2015, v. 20, n. 4, p. 375, doi. 10.1177/1081286513497616
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30
Improved Soliton Solutions of Generalized Fifth Order Time-Fractional KdV Models: Laplace Transform with Homotopy Perturbation Algorithm.
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- Universe (2218-1997), 2022, v. 8, n. 11, p. 563, doi. 10.3390/universe8110563
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31
Fermionic extensions of KdV equation.
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- Annals of the University of Craiova, Physics, 2018, v. 28, p. 99
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32
A second-order convergent and linearized difference scheme for the initial-boundary value problem of the Korteweg-de Vries equation.
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- Journal of Southeast University (English Edition), 2022, v. 38, n. 2, p. 203, doi. 10.3969/j.issn.1003-7985.2022.02.013
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33
Solitary wave solutions of two KdV-type equations.
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- Open Physics, 2018, v. 16, n. 1, p. 311, doi. 10.1515/phys-2018-0043
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34
On the conservation laws and solutions of a (2+1) dimensional KdV-mKdV equation of mathematical physics.
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- Open Physics, 2018, v. 16, n. 1, p. 211, doi. 10.1515/phys-2018-0030
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- Article
35
Ion acoustic quasi-soliton in an electron-positron-ion plasma with superthermal electrons and positrons.
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- Open Physics, 2018, v. 16, n. 1, p. 563, doi. 10.1515/phys-2018-0073
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- Article
36
The Car Following Model with Relative Speed in Front on the Three-Lane Road.
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- Discrete Dynamics in Nature & Society, 2018, p. 1, doi. 10.1155/2018/7560493
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37
Plasma Ion Velocity Distribution Function Perturbed by Ion-Acoustic Solitons: Analytical Calculations Based on KDV Equation.
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- Plasma Physics Reports, 2023, v. 49, n. 10, p. 1180, doi. 10.1134/S1063780X23601177
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- Article
38
Cylindrical Three Dimensional Dust–Ion–Acoustic Solitary Waves in Nonthermal Plasmas.
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- Plasma Physics Reports, 2023, v. 49, n. 8, p. 1014, doi. 10.1134/S1063780X23600354
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- Article
39
Profile of an Ion–Acoustic Solitary Wave in Plasma with Negative Ions.
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- Plasma Physics Reports, 2022, v. 48, n. 5, p. 474, doi. 10.1134/S1063780X22200053
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- Article
40
Nonlinear Propagation of Electrostatic Waves in Alkali–Fullerene Plasmas.
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- Plasma Physics Reports, 2021, v. 47, n. 3, p. 298, doi. 10.1134/S1063780X21030077
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41
Inherent Study of the Measures of Perturbation to Generate mKdV Solitons in Dusty Plasma with Relativistic Effects in Electrons and Ions.
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- Plasma Physics Reports, 2020, v. 46, n. 10, p. 1004, doi. 10.1134/S1063780X20100050
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42
Three-Dimensional Self-Gravito-Acoustic Solitary Waves in a Degenerate Quantum Plasma System.
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- Plasma Physics Reports, 2020, v. 46, n. 2, p. 195, doi. 10.1134/S1063780X20020075
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43
Overtaking Collisions of Electrostatic N-Soliton in Electron–Hole Quantum Plasmas.
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- Plasma Physics Reports, 2020, v. 46, n. 1, p. 41, doi. 10.1134/S1063780X20010055
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44
Heavy Ion-Acoustic Solitary Waves and Double Layers in a Multi-Ion Plasma.
- Published in:
- Plasma Physics Reports, 2018, v. 44, n. 9, p. 861, doi. 10.1134/S1063780X18090131
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- Article
45
Investigation of Ion-Acoustic Solitons in Magnetosphere and Tokamak Warm Plasma with Two-Temperature Electrons.
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- Plasma Physics Reports, 2018, v. 44, n. 9, p. 854, doi. 10.1134/S1063780X18090027
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- Article
46
Effect of dust size distribution on ion-acoustic solitons in dusty plasmas with different dust grains.
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- Plasma Physics Reports, 2017, v. 43, n. 2, p. 212, doi. 10.1134/S1063780X17020039
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- Article
47
Symmetry Group Analysis of a Fifth-Order KdV Equation with Variable Coefficients.
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- Journal of Computational & Theoretical Transport, 2016, v. 45, n. 4, p. 275, doi. 10.1080/23324309.2016.1161649
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- Article
48
A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method.
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- Mathematics (2227-7390), 2023, v. 11, n. 4, p. 859, doi. 10.3390/math11040859
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49
Variational Problems and Applications.
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- Mathematics (2227-7390), 2023, v. 11, n. 1, p. 205, doi. 10.3390/math11010205
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50
Solitary Wave Solutions for the Stochastic Fractional-Space KdV in the Sense of the M-Truncated Derivative.
- Published in:
- Mathematics (2227-7390), 2022, v. 10, n. 24, p. 4792, doi. 10.3390/math10244792
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- Article