The singular manifold method and exact periodic wave solutions to a restricted BLP dispersive long wave system
From MaRDI portal
Publication:817442
DOI10.1016/S0034-4877(05)80091-6zbMath1090.35159MaRDI QIDQ817442
Publication date: 16 March 2006
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
exact solutionsJacobi elliptic functionssingular manifold methodrestricted dispersive long wave system
KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)
Related Items
New applications of the singular manifold method to the (2 + 1)-dimensional Burgers equations ⋮ Exact solutions and localized structures for higher-dimensional Burgers systems ⋮ Be careful with the Exp-function method ⋮ On ``new travelling wave solutions of the KdV and the KdV-Burgers equations ⋮ Seven common errors in finding exact solutions of nonlinear differential equations ⋮ Solutions for space-time fractional \((2+1)\)-dimensional dispersive long wave equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symmetry reductions and exact solutions of a class of nonlinear heat equations
- Exact solutions for some nonlinear partial differential equations
- On exact solutions of the coupled Klein--Gordon--Schrödinger and the complex coupled KdV equations using mapping method
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- New similarity reductions of the Boussinesq equation
- The Painlevé property for partial differential equations
- Spectral transform for a two spatial dimension extension of the dispersive long wave equation
- On the microwave hotspot problem
- The effect of conductivity on hotspots
- Solitary waves andNcoupled nonlinear equations
- Darboux transformations via Painlevé analysis
- Solitary waves in active-dissipative dispersive media
- Method for Solving the Korteweg-deVries Equation
- A Generalization of the Sine-Gordon Equation to 2 + 1 Dimensions
- A New Solitary Wave Solution for the New Hamiltonian Amplitude Equation
