A Nonlinear Transformation of the Dispersive Long Wave Equations in (2+1) Dimensions and its Applications
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Publication:4498225
DOI10.2991/jnmp.1998.5.2.2zbMath0948.35086arXivmath/9804162OpenAlexW2004210570MaRDI QIDQ4498225
Yu-Bin Zhou, Zhi-Bin Li, Ming-Liang Wang
Publication date: 15 August 2000
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9804162
Second-order nonlinear hyperbolic equations (35L70) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)
Related Items (8)
New exact solutions for a generalized variable coefficients 2D KdV equation ⋮ Determinant structure for the \({(2 + 1)}\)-dimensional dispersive long wave system ⋮ Solitons, breathers and rational solutions for a (2+1)-dimensional dispersive long wave system ⋮ Exact travelling wave solutions for the generalized shallow water wave equation. ⋮ Novel interacting phenomena in (2+1) dimensional AKNS system ⋮ A new Bäcklund transformation and multi-soliton solutions to the KdV equation with general variable coefficients ⋮ Auto-Bäcklund transformation and exact solutions of the generalized variable-coefficient Kadomtsev-Petviashvili equation ⋮ Some decomposition method for analytic solving of certain nonlinear partial differential equations in physics with applications
Cites Work
- On the integrable variant of the Boussinesq system: Painlevé property, rational solutions, a related many-body system, and equivalence with the AKNS hierarchy
- Solitary wave solutions for variant Boussinesq equations
- Group theoretical analysis of dispersive long wave equations in two space dimensions
- Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
- Spectral transform for a two spatial dimension extension of the dispersive long wave equation
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