Exact traveling wave solutions of the Gardner equation by the improved \(\tan\left( \Theta \left( \vartheta\right)\right)\)-expansion method and the wave ansatz method
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Publication:2209661
DOI10.1155/2020/5926836zbMath1459.35078OpenAlexW3091946067MaRDI QIDQ2209661
Publication date: 4 November 2020
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2020/5926836
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton solutions (35C08)
Cites Work
- A study of shallow water waves with Gardner's equation
- On the ill-posedness of the Gardner equation
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- Exact and explicit solitary wave solutions to some nonlinear equations
- On Lie symmetries and invariant solutions of (2+1)-dimensional Gardner equation
- Study of the analytical treatment of the (2+1)-dimensional Zoomeron, the Duffing and the SRLW equations via a new analytical approach
- New solitons and kink solutions for the Gardner equation
- Solitons and singular solitons for the Gardner-KP equation
- Wave Propagation in Nonlinear Lattice. I
- Wave Propagation in Nonlinear Lattice. II
- Method for Solving the Korteweg-deVries Equation
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Exact traveling wave solutions for resonance nonlinear Schrödinger equation with intermodal dispersions and the Kerr law nonlinearity
- Wave group dynamics in weakly nonlinear long-wave models
- The classification of the single traveling wave solutions to the time-fraction Gardner equation
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