N-soliton solutions of the KdV6 and mKdV6 equations

DOI10.1063/1.3514121zbMath1314.35157OpenAlexW2081752426MaRDI QIDQ5254864

Zhaqilao, Sirendaoreji

Publication date: 10 June 2015

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

Full work available at URL: https://doi.org/10.1063/1.3514121

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Polynomial solutions to PDEs (35C11)

Related Items (4)

Three wave mixing effect in the (2+1)-dimensional Ito equation ⋮ Exact multi-Soliton solutions of the KdV equation with a source: Riemann-Hilbert formulation ⋮ Higher-order mixed solution and breather solution on a periodic background for the Kundu equation ⋮ Rogue waves of the sixth-order nonlinear Schrödinger equation on a periodic background

Cites Work

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• Darboux transformation and new solutions for the Whitham–Broer–Kaup equations
• Algebraic construction of the Darboux matrix revisited
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• A generalized coupled Korteweg–de Vries hierarchy, bi-Hamiltonian structure, and Darboux transformation
• Exact accelerating solitons in nonholonomic deformation of the KdV equation with a two-fold integrable hierarchy
• A new integrable generalization of the Korteweg–de Vries equation

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