Binary nonlinearization of the nonlinear Schrödinger equation under an implicit symmetry constraint

DOI10.1007/s10255-014-0286-yzbMath1333.37110OpenAlexW2399048531MaRDI QIDQ403509

Jing-Song He, Jing Yu, Yi. Cheng

Publication date: 29 August 2014

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-014-0286-y

zbMATH Keywords

AKNS systeman implicit symmetry constraintbinary nonlinearizationcompletely integrable Hamiltonian system

Mathematics Subject Classification ID

Related Items (1)

The binary nonlinearization of the super integrable system and its self-consistent sources

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinearization of the Lax system for AKNS hierarchy
• Direct search for exact solutions to the nonlinear Schrödinger equation
• Binary nonlinearization of AKNS spectral problem under higher-order symmetry constraints.
• The nonlinear Schrödinger equation on the interval
• Nonlinearizations of spectral problems of the nonlinear Schrödinger equation and the real-valued modified Korteweg–de Vries equation
• The constraints of potentials and the finite-dimensional integrable systems
• Finite‐Dimensional Integrable Hamiltonian Systems Related to the Nonlinear Schrödinger Equation
• A nonconfocal generator of involutive systems and three associated soliton hierarchies
• Constraints of the Kadomtsev–Petviashvili hierarchy
• New Finite-Dimensional Integrable Systems by Symmetry Constraint of the KdV Equations
• The nonlinear Schrödinger equation on the half-line
• An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems

This page was built for publication: Binary nonlinearization of the nonlinear Schrödinger equation under an implicit symmetry constraint