Symbolic computation and exact traveling solutions for nonlinear partial differential equations
DOI10.1007/S11741-008-0603-3zbMath1199.68557OpenAlexW1990858234MaRDI QIDQ3640926
Publication date: 11 November 2009
Published in: Journal of Shanghai University (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11741-008-0603-3
nonlinear partial differential equationsrational solutionsoliton solutiondoubly periodic solutionWu method
Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Cites Work
- A new method for solving nonlinear differential-difference equations
- The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations
- Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
- Variational principles for some nonlinear partial differential equations with variable coefficients
- A new Jacobi elliptic function rational expansion method and its application to (1 + 1)-dimensional dispersive long wave equation
- Symbolic computation and new families of exact soliton-like solutions of Konopelchenko-Dubrov\-sky equations
- Soliton-like and periodic form solutions to \((2+1)\)-dimensional Toda equation
- Symbolic computation and new families of exact non-travelling wave solutions of \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations
- The periodic wave solutions for the (3 + 1)-dimensional Klein-Gordon-Schrödinger equations
- Application of homotopy perturbation method to nonlinear wave equations
- Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations
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