New positon, negaton and complexiton solutions for the Bogoyavlensky-Konoplechenko equation
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Publication:653098
DOI10.1016/J.PHYSLETA.2009.03.022zbMath1229.37070OpenAlexW2124822454MaRDI QIDQ653098
Publication date: 6 January 2012
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2009.03.022
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton solutions (35C08)
Related Items (11)
Explicit solutions of the Bogoyavlensky-Konoplechenko equation ⋮ On conservation laws by Lie symmetry analysis for (2+1)-dimensional Bogoyavlensky-Konopelchenko equation in wave propagation ⋮ Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity ⋮ Integrability of a (2+1)-dimensional generalized breaking soliton equation ⋮ Lump-type solutions and lump solutions for the (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation ⋮ Integrability, multiple-cosh, lumps and lump-soliton solutions to a (2+1)-dimensional generalized breaking soliton equation ⋮ Painlevé analysis and symmetry group for the coupled Zakharov-Kuznetsov equation ⋮ Dynamics of d'Alembert wave and soliton molecule for a \((2 + 1)\)-dimensional generalized breaking soliton equation ⋮ Similarity solutions and conservation laws for the Bogoyavlensky-Konopelchenko equation by Lie point symmetries ⋮ Integrability with symbolic computation on the Bogoyavlensky-Konoplechenko model: Bell-polynomial manipulation, bilinear representation, and Wronskian solution ⋮ Quasi-periodic wave solutions, soliton solutions, and integrability to a (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation
Cites Work
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- Exact solutions of the Bogoyavlensky-Konopelchenko equation
- New Darboux transformation for Hirota--Satsuma coupled KdV system
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
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