An inverse scattering transform for the MKdV equation with non-vanishing boundary value

DOI10.1063/1.531839zbMath0867.35084OpenAlexW2005381149MaRDI QIDQ2785744

Zongyun Chen, Nian-Ning Huang, Xiang-Jun Chen

Publication date: 25 February 1997

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

Full work available at URL: https://doi.org/10.1063/1.531839

zbMATH Keywords

inverse scattering transformMKdV equationBinet-Cauchy formuladark multisoliton solutionsinverse scattering equation of Zakharov-Shabat

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Soliton equations (35Q51)

Related Items (1)

SUPERFIELD APPROACH TO A NOVEL SYMMETRY FOR NON-ABELIAN GAUGE THEORY

Cites Work

• Closure of the squared Zakharov-Shabat eigenstates
• An alternative explicit construction of N-soliton solutions in 1+1 dimensions
• A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
• A Green’s function for a linear equation associated with solitons
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Integrals of nonlinear equations of evolution and solitary waves

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