A class of exact solutions of the generalized nonlinear Schrödinger equation

DOI10.1016/S0034-4877(09)90014-3zbMath1181.35268OpenAlexW2008854493MaRDI QIDQ2390693

Hong-Xian Xu, Cai-Zhen Yao, Xiao-Na Cai, Yi Zhang

Publication date: 3 August 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(09)90014-3

zbMATH Keywords

generalized nonlinear Schrödinger equationsolitonHirota bilinear methodperiodic-like solution

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton solutions (35C08)

Related Items (2)

Novel soliton interaction behaviours in the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system ⋮ Direct search for exact solutions to the nonlinear Schrödinger equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A class of doubly periodic waves for nonlinear evolution equations
• A note on the homogeneous balance method
• Extended tanh-function method and its applications to nonlinear equations
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Method for Solving the Korteweg-deVries Equation
• A class of exact, periodic solutions of nonlinear envelope equations
• Three Sources and Three Component Parts of the Concept of Dissipative Solitons
• Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices

This page was built for publication: A class of exact solutions of the generalized nonlinear Schrödinger equation