On the application of a generalized dressing method to the integration of variable-coefficient coupled Hirota equations

DOI10.1063/1.3245860zbMath1304.37053OpenAlexW2080450209MaRDI QIDQ3583705

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Publication date: 17 August 2010

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

Full work available at URL: https://doi.org/10.1063/1.3245860

zbMATH Keywords

Hirota equationsLax pairsgeneralized dressing method

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) Lasers, masers, optical bistability, nonlinear optics (78A60) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (3)

A new integrable variable-coefficient \(2 + 1\)-dimensional long wave-short wave equation and the generalized dressing method ⋮ Explicit solutions for a modified \(2+1\)-dimensional coupled Burgers equation by using Darboux transformation ⋮ Symmetry analysis of variable-coefficient time-fractional nonlinear systems of partial differential equations

Cites Work

• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• An inverse scattering scheme for the regularized long-wave equation
• A reformulation of the `dressing method' for the Sawada-Kotera equation
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Bright and dark optical solitons in coupled higher-order nonlinear Schrodinger equations through singularity structure analysis
• Dark soliton solutions of the coupled Hirota equation in nonlinear fiber

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