Exact solution of a KdV equation with variable coefficients
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Publication:636698
DOI10.1016/J.CAMWA.2010.09.048zbMath1219.35245OpenAlexW2078955448MaRDI QIDQ636698
Yan Wang, Hong-cai Ma, Ai-ping Deng
Publication date: 28 August 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2010.09.048
Related Items (8)
Multi-symplectic quasi-interpolation method for the KdV equation ⋮ Non-auto-Bäcklund transformation and novel abundant explicit exact solutions of the variable coefficients Burger equation ⋮ Controllable rogue waves in a compressible hyperelastic plate ⋮ An extension to direct method of Clarkson and Kruskal and Painlavé analysis for the system of variable coefficient nonlinear partial differential equations ⋮ Two-layer fluid formation and propagation of periodic solitons induced by \((3+1)\)-dimensional KP equation ⋮ A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation ⋮ Numerical analytic method for solving a large class of generalized non-homogeneous variable coefficients KdV problems based on lie symmetries ⋮ A new approach for the numerical approximation of modified Korteweg-de Vries equation
Cites Work
- Numerical solution of complex modified Korteweg-de Vries equation by collocation method
- Multi soliton solution for the system of coupled Korteweg-de Vries equations
- Similarity methods for differential equations
- Symmetry and integration methods for differential equations
- The versatile soliton. Transl. from the Russian
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- New similarity reductions of the Boussinesq equation
- Method for Solving the Korteweg-deVries Equation
- Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
- Virasoro structure and localized excitations of the LKR system
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