A note on exact complex travelling wave solutions for \((2+1)\)-dimensional B-type Kadomtsev-Petviashvili equation
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Publication:984298
DOI10.1016/j.amc.2010.03.106zbMath1193.35204OpenAlexW2049935045MaRDI QIDQ984298
Publication date: 19 July 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.106
\((\frac{G^{\prime}}{G})\)-expansion method\((2+1)\)-dimensional BKP equationexact complex travelling wave solutions
KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Methods of ordinary differential equations applied to PDEs (35A24)
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Uses Software
Cites Work
- Unnamed Item
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- A generalized \((\frac{G'}{G})\)-expansion method for the mKdV equation with variable coefficients
- A generalized \((\frac{G'}{G})\)-expansion method and its applications
- RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations
- Soliton perturbation theory for phi-four model and nonlinear Klein-Gordon equations
- New travelling wave solutions to the Boussinesq and the Klein-Gordon equations
- Topological and non-topological solitons of the generalized Klein-Gordon equations
- Complexiton solutions to integrable equations
- New exact complex traveling wave solutions for \((2+1)\)-dimensional BKP equation
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- The periodic wave solutions for the Klein-Gordon-Schrödinger equations
- Explicit exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order.
- Abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional integrable Davey-Stewartson-type equation via a new method
- Complexiton solutions to the Korteweg-de Vries equation
- Auxiliary equation method for solving nonlinear partial differential equations
- Construction of new soliton-like solutions of the (2 + 1) dimensional dispersive long wave equation
- Solitary wave solutions for variant Boussinesq equations
- Exact solutions for a compound KdV-Burgers equation
- The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
- Extended tanh-function method and its applications to nonlinear equations
- Wronskian solutions of the Boussinesq equation—solitons, negatons, positons and complexitons
- Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
- Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
