scientific article; zbMATH DE number 1565851
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Publication:4763145
DOI<1667::AID-MMA180>3.0.CO;2-L 10.1002/1099-1476(200012)23:18<1667::AID-MMA180>3.0.CO;2-LzbMath0988.76014MaRDI QIDQ4763145
Publication date: 14 July 2002
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)
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A new Riccati equation expansion method with symbolic computation to construct new travelling wave solution of nonlinear differential equations ⋮ Trigonometric function periodic wave solutions and their limit forms for the KdV-like and the PC-like equations ⋮ Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics ⋮ Lie group analysis, exact solutions and new conservation laws for combined KdV-mKdV equation ⋮ Comparison exact and numerical simulation of the traveling wave solution in nonlinear dynamics ⋮ Study on numerical solution of dispersive water wave phenomena by using a reliable modification of variational iteration algorithm ⋮ An auto-Bäcklund transformation and exact solutions to a generalized KdV equation with variable coefficients and their applications ⋮ A generalized (\(G{^{\prime}}/G\))-expansion method and its applications to nonlinear evolution equations ⋮ A new Bäcklund transformation and multi-soliton solutions to the KdV equation with general variable coefficients ⋮ New exact travelling waves solutions to the combined KdV-MKdV and generalized Zakharov equations ⋮ Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations ⋮ A numerical application of the decomposition method for the combined KdV-MKdV equation
Cites Work
- Solitary wave solutions for variant Boussinesq equations
- New exact solutions to a solutions to a system of coupled KdV equations
- Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
- Wave Propagation in Nonlinear Lattice. I
- Exact solutions to the combined KdV and mKdV equation
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