Exact solutions and conservation laws of a two-dimensional integrable generalization of the Kaup-Kupershmidt equation
From MaRDI portal
Publication:2375624
DOI10.1155/2013/647313zbMath1266.37029OpenAlexW2072221796WikidataQ59003542 ScholiaQ59003542MaRDI QIDQ2375624
Abdullahi Rashid Adem, Chaudry Masood Khalique
Publication date: 14 June 2013
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/647313
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (3)
A new nonlinear integral-differential equation describing Rossby waves and its related properties ⋮ Bäcklund transformation, infinite number of conservation laws and fission properties of an integro-differential model for ocean internal solitary waves ⋮ An extended Korteweg-de Vries equation: multi-soliton solutions and conservation laws
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Double reduction of a nonlinear \((2+1)\) wave equation via conservation laws
- Solitons and infinite dimensional Lie algebras
- General \(N\)th-order differential spectral problem: general structure of the integrable equations, nonuniqueness of recursion operator and gauge invariance
- New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations
- Double reduction of PDEs from the association of symmetries with conservation laws with applications
- Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity
- Numerical homoclinic instabilities and the complex modified Korteweg-de Vries equation
- Numerical approximation of hyperbolic systems of conservation laws
- Auxiliary equation method for solving nonlinear partial differential equations
- Solitary wave solutions for variant Boussinesq equations
- Symmetries and exact solutions via conservation laws for some partial differential equations of mathematical physics
- The tanh and the sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
- Integrals of nonlinear equations of evolution and solitary waves
- Symmetries and differential equations
- The construction of exact solutions of two-dimensional integrable generalizations of Kaup-Kuperschmidt and Sawada-Kotera equations via \(\overline \partial\)-dressing method
This page was built for publication: Exact solutions and conservation laws of a two-dimensional integrable generalization of the Kaup-Kupershmidt equation
