A new exact solution and corresponding localized excitations of the \((2+1)\)-dimensional mKdV equation

DOI10.1016/j.physleta.2007.06.004zbMath1209.35122OpenAlexW1989295244MaRDI QIDQ715994

Rong Zhang, Shou-feng Shen

Publication date: 19 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.06.004

zbMATH Keywords

exact solutionPainlevé propertylocalized excitationmkdv equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (2)

Variable separation solution for an extended (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ New variable separation solutions and nonlinear phenomena for the \((2+1)\)-dimensional modified Korteweg-de Vries equation

Cites Work

• Stationary Veselov-Novikov equation and isothermally asymptotic surfaces in projective differential geometry
• On the coherent structures of the Nizhnik-Novikov-Veselov equation
• Revisitation of the localized excitations of the (2+1)-dimensional KdV equation
• The Painlevé property for partial differential equations

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