Families of non-travelling wave solutions to a generalized variable coefficient two-dimensional KdV equation using symbolic computation
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Publication:1772644
DOI10.1016/j.chaos.2004.04.005zbMath1070.35079OpenAlexW2148380164MaRDI QIDQ1772644
Heng-Nong Xuan, Chang-Ji Wang, Da-Fang Zhang
Publication date: 21 April 2005
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2004.04.005
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Cites Work
- Unnamed Item
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation.
- Soliton-like and period form solutions for high dimensional nonlinear evolution equations
- Symbolic computation and construction of soliton-like solutions for a breaking soliton equation.
- Auto-Bäcklund transformation and exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
- New exact solutions for a generalized variable coefficients 2D KdV equation
- Symbolic software for soliton theory
- A note on the exact travelling wave solution to the KdV --- Burgers equation
- Extended tanh-function method and its applications to nonlinear equations
- Simple Derivation of Backlund Transformation from Riccati Form of Inverse Method
- Solitary wave solutions of nonlinear wave equations
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Water waves and Korteweg–de Vries equations
- The first-integral method to study the Burgers–Korteweg–de Vries equation
- Asymptotic Solitons of the Johnson Equation
- Modified extended tanh-function method for solving nonlinear partial differential equations
- Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics
- New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water
- Auto-Bäcklund transformation and similarity reductions for general variable coefficient KdV equations
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