Hamiltonian formulation of the inverse scattering method of the modified KdV equation under the non-vanishing boundary condition u(x, t) to b as x to +or- infinity

DOI10.1088/0305-4470/21/18/013zbMath0692.35119OpenAlexW1990565582MaRDI QIDQ3034230

P. C. W. Fung, T. C. Au Yeung

Publication date: 1988

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/21/18/013

zbMATH Keywords

inverse scattering transformmodified Korteweg-de Vries equationaction-angle variablescompletely integrablenon-vanishing boundary condition

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (4)

Focusing and defocusing mKdV equations with nonzero boundary conditions: inverse scattering transforms and soliton interactions ⋮ Inverse scattering problem for the matrix modified Korteweg-de Vries equation with finite density type initial data ⋮ Construction of rational solutions of the real modified Korteweg-de Vries equation from its periodic solutions ⋮ On the \(\bar\partial \)-problem and dressing method for the complex vector modified KdV equation

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