Breather-type soliton and two-soliton solutions for modified Korteweg-de Vries equation

DOI10.1016/j.amc.2010.01.008zbMath1185.35240OpenAlexW1963909484MaRDI QIDQ961592

Gui Mu, Chuanjian Wang, Zhengde Dai, Songqing Lin

Publication date: 31 March 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.008

zbMATH Keywords

bilinear formtwo-solitonbreather-type solitonextended homoclinic test methodM-KdV equation

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) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton solutions (35C08)

Related Items (8)

Breather solutions of a negative order modified Korteweg-de Vries equation and its nonlinear stability ⋮ Breather-type and multi-wave solutions for \(( 2 + 1 )\)-dimensional nonlocal Gardner equation ⋮ Extend three-wave method for the \((1+2)\)-dimensional Itô equation ⋮ A novel outlook to the mKdV equation using the advantages of a mixed method ⋮ The EHTA for nonlinear evolution equations ⋮ The breather-type and periodic-type soliton solutions for the \((2+1)\)-dimensional breaking soliton equation ⋮ Orbital stability and asymptotic stability of mKdV breather-type soliton solutions ⋮ Applications of the extended test approach to \((2+1)\)-dimensional Gardner equation

Cites Work

• New binary travelling-wave periodic solutions for the modified KdV equation
• New exact periodic solitary-wave solution of mKdV equation
• Comments on ``New exact periodic solitary-wave solution of mKdV equation
• Unnamed Item

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