SOLITON RESONANCES FOR THE MODIFIED KADOMTSEV–PETVIASHVILI EQUATIONS IN UNIFORM AND NON-UNIFORM MEDIA

DOI10.1142/S0217984910022354zbMath1186.37078OpenAlexW1966686944MaRDI QIDQ3556815

Hong-Hai Hao, Da-jun Zhang

Publication date: 26 April 2010

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984910022354

zbMATH Keywords

Hirota's methodsoliton resonancemodified Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (7)

N -Soliton Solution and Soliton Resonances for the (2+1)-Dimensional Inhomogeneous Gardner Equation ⋮ Darboux transformation and nonautonomous solitons for a modified Kadomtsev-Petviashvili equation with variable coefficients ⋮ Magneto-optical/ferromagnetic-material computation: Bäcklund transformations, bilinear forms and \(N\) solitons for a generalized \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system ⋮ Soliton interaction in the modified Kadomtsev–Petviashvili-(II) equation ⋮ Rational and semi-rational solutions of the modified Kadomtsev-Petviashvili equation and the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation ⋮ Certain electromagnetic waves in a ferromagnetic film ⋮ Magnetooptic studies on a ferromagnetic material via an extended \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system

Cites Work

• The multisoliton solutions for the nonisospectral mKP equation
• Soliton resonances for the MKP-II
• The Kadomtsev-Petviashvili equation with self-consistent sources in nonuniform media
• Solving the KP hierarchy by gauge transformations
• EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
• The multisoliton solutions for the mKPI equation with self-consistent sources
• Resonantly interacting solitary waves
• Graded Symmetry Algebras of Time-Dependent Evolution Equations and Application to the Modified KP Equations
• Young diagrams and N-soliton solutions of the KP equation

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