N-Soliton Solution for a Difference-Differential Equation under Nonvanishing Boundary Condition at the Infinity

DOI10.1143/JPSJ.68.1444zbMath1004.37058MaRDI QIDQ2718262

Kazuaki Narita

Publication date: 13 August 2001

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

zbMATH Keywords

discrete MKdV equationone-soliton solution\(N\)-solitondiscrete difference-differential 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) Partial functional-differential equations (35R10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (2)

The discrete modified Korteweg-de Vries equation with non-vanishing boundary conditions: interactions of solitons ⋮ 1,2-rational \(N\)-soliton solutions for difference-differential equations related to the Volterra equation

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