Applications of the new compound Riccati equations rational expansion method and Fan's subequation method for the Davey-Stewartson equations
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Publication:978485
DOI10.1155/2010/915721zbMath1192.35162OpenAlexW2068982331WikidataQ59254276 ScholiaQ59254276MaRDI QIDQ978485
Publication date: 24 June 2010
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/233593
KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Traveling wave solutions (35C07) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)
Cites Work
- Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
- Symbolic computation in nonlinear evolution equation: application to \((3+1)\)-dimensional Kadomtsev-Petviashvili equation
- Group analysis and modified extended tanh-function to find the invariant solutions and soliton solutions for nonlinear Euler equations
- Auxiliary equation method for solving nonlinear partial differential equations
- The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
- Exact travelling wave solutions of nonlinear partial differential equations
- A new compound Riccati equations rational expansion method and its application to the \((2 + 1)\)-dimensional asymmetric Nizhnik-Novikov-Vesselov system
- Localised coherent solutions of the DSI and DSII equations -- a numerical study
- The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited
- Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation
- On three-dimensional packets of surface waves
- The homogeneous balance method, Lax pair, Hirota transformation and a general fifth-order KdV equation