Hirota bilinearization of coupled higher-order nonlinear Schrödinger equation

DOI10.1016/J.CNSNS.2009.12.019zbMath1222.35190OpenAlexW2078429870MaRDI QIDQ720248

Abhijit Barthakur, Abhijit Borah, Debojit Sarma, Sudipta Nandy

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.12.019

zbMATH Keywords

integrabilitynonlinear Schrödinger equationsolitonbilinearization

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Mixed-type solitons for the coupled higher-order nonlinear Schrödinger equations in multi-mode and birefringent fibers ⋮ Pairwise three soliton interactions, soliton logic gates in coupled nonlinear Schrödinger equation with variable coefficients ⋮ The higher-order soliton solutions for the coupled Sasa-Satsuma system via the \(\overline{\partial}\)-dressing method

Cites Work

• Polarized optical vortex solitons: Instabilities and dynamics in Kerr nonlinear media
• Inverse scattering method and vector higher order nonlinear Schrödinger equation
• N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
• A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
• A search for bilinear equations passing Hirota’s three-soliton condition. II. mKdV-type bilinear equations
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Bilinearization of a Generalized Derivative Nonlinear Schrödinger Equation
• Complete integrability ofN-coupled higher-order nonlinear Schrödinger equations in nonlinear optics
• Exact envelope-soliton solutions of a nonlinear wave equation
• Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices

This page was built for publication: Hirota bilinearization of coupled higher-order nonlinear Schrödinger equation