New approximate solutions of the perturbed KdV equation

DOI10.1016/J.PHYSLETA.2005.09.013zbMath1195.65208OpenAlexW2001942372MaRDI QIDQ1957437

Xiaohua Niu, Zuliang Pan

Publication date: 27 September 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.09.013

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (3)

Soliton perturbation theory for the fifth order KdV-type equations with power law nonlinearity ⋮ Soliton perturbation theory for the generalized Benjamin-Bona-Mahoney equation ⋮ Soliton perturbation theory for the generalized fifth-order KdV equation

Cites Work

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• A new algebraic method for finding the line soliton solutions and doubly periodic wave solution to a two-dimensional perturbed KdV equation.
• Asymptotic solitons for a third-order Korteweg-de Vries equation
• Moving frames and joint differential invariants
• Soliton solution of a singularly perturbed KdV equation
• Existence and construction of travelling wavefront solutions of Fisher equations with fourth-order perturbations
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries

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