Rational Solutions with Non-zero Asymptotics of the Modified Korteweg-de Vries Equation

DOI10.1088/0253-6102/57/6/03zbMath1247.37065OpenAlexW1483886681MaRDI QIDQ2913709

Ying-ying Sun, Da-jun Zhang

Publication date: 26 September 2012

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/57/6/03

zbMATH Keywords

Wronskianrational solutionsmodified KdV equationbilinear Bäcklund transformation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (7)

Rational solutions to the mKdV equation associated to particular polynomials ⋮ Solutions to the modified Korteweg–de Vries equation ⋮ Rational solutions for the potential nonlinear lumped self-dual network equation ⋮ A KdV-Type Wronskian Formulation to Generalized KP, BKP and Jimbo–Miwa Equations ⋮ The mKdV equation and multi-parameters rational solutions ⋮ Higher-order rational soliton solutions for the fifth-order modified KdV and KdV equations ⋮ Asymptotic analysis of high-order solitons for the Hirota equation

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