Dynamical behavior of loop solutions for the \(K(2, 2)\) equation

DOI10.1016/j.physleta.2011.06.040zbMath1250.35159OpenAlexW2095557164MaRDI QIDQ715449

Ji-Bin Li, Li-Na Zhang

Publication date: 29 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.06.040

zbMATH Keywords

\(K(2, 2)\) equationloop-soliton solutionperiodic loop solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (8)

Three kinds of periodic wave solutions and their limit forms for a modified KdV-type equation ⋮ Bounded traveling wave solutions and their relations for the generalized HD type equation ⋮ Special exact soliton solutions for the \(K(2, 2)\) equation with non-zero constant pedestal ⋮ Dissipative perturbations for the \(K(n, n)\) Rosenau-Hyman equation ⋮ The \(N\)-loop soliton solutions for \((2+1)\)-dimensional Vakhnenko equation ⋮ Periodic loop solutions and their limit forms for the Kudryashov-Sinelshchikov equation ⋮ Exact similarity and traveling wave solutions to an integrable evolution equation for surface waves in deep water ⋮ Notes on ``Different kinds of exact solutions with two-loop character of the two-component short pulse equations of the first kind

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