Exact travelling wave solutions of nonlinear evolution equations in (1+1) and (2+1) dimensions
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Publication:1780777
DOI10.1016/j.na.2005.01.090zbMath1086.34501OpenAlexW1562992907MaRDI QIDQ1780777
Publication date: 13 June 2005
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2005.01.090
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Cites Work
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- Generalized tanh method with symbolic computation and generalized shallow water wave equation
- Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres.
- Traveling wave solutions for nonlinear equations using symbolic computation
- Exact solutions of the classical Drinfel'd-Sokolov-Wilson equations and the relations among the solutions
- Exact travelling wave solutions for a class of nonlinear partial differential equations
- Solitary wave solutions for variant Boussinesq equations
- A note on the homogeneous balance method
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- On the coherent structures of the Nizhnik-Novikov-Veselov equation
- New Explicit Solitary Wave Solutions and Periodic Wave Solutions for the Generalized Coupled Hirota-Satsuma KdV System
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- On the integrability of systems of nonlinear ordinary differential equations with superposition principles
- Link between solitary waves and projective Riccati equations
- On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions
- Applications of Computer Algebra in Solving Nonlinear Evolution Equations
- Exact solutions for two nonlinear equations. I
- Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics
