A further improved extended Fan sub-equation method for \((2+1)\)-dimensional breaking soliton equations
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Publication:924408
DOI10.1016/j.amc.2007.09.052zbMath1187.35201OpenAlexW2157843964MaRDI QIDQ924408
Publication date: 16 May 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.09.052
symbolic computationsoliton-like solutionsJacobi elliptic wave function-like solutionstriangular-like solutionsWeierstrass elliptic doubly-like periodic solutionsfan sub-equation method
Analyticity in context of PDEs (35A20) Soliton equations (35Q51) Software, source code, etc. for problems pertaining to partial differential equations (35-04)
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Uses Software
Cites Work
- Unnamed Item
- The modified extended Fan sub-equation method and its application to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation
- New exact solutions of the KdV-Burgers-Kuramoto equation
- The periodic wave solutions for the \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations
- Symbolic computation and new families of exact non-travelling wave solutions to \((3 + 1)\)-dimensional Kadomstev-Petviashvili equation
- A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation
- Exact solutions for some nonlinear partial differential equations
- Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
- A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves
- Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems
- An algebraic method exactly solving two high-dimensional nonlinear evolution equations
- The solution of KdV and mKdV equations using Adomian Padé approximation
- Periodic wave solutions to a coupled KdV equations with variable coefficients
- Dromion-like structures in the \((2+1)\)-dimensional breaking soliton equation
- Exact solutions for a compound KdV-Burgers equation
- A simple transformation for nonlinear waves.
- New localized coherent structures to the \((2+1)\)-dimensional breaking soliton equation
- The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
- A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficients KdV equation
- The periodic wave solutions for the \((2+1)\)-dimensional dispersive long water equations
- Symbolic computation and new families of exact non-travelling wave solutions of \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations
- Solitary wave solutions of nonlinear wave equations
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A Generalized Algebraic Method for Constructing a Series of Explicit Exact Solutions of a (1+1)-Dimensional Dispersive Long Wave Equation
- A Series of Soliton-like and Double-like Periodic Solutions of a (2+1)-Dimensional Asymmetric Nizhnik-Novikov-Vesselov Equation
- On the Coherent Structures of (2+1)-Dimensional Breaking Soliton Equation
- Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations