A hierarchy of the nonlocal nonlinear Schrödinger equation with self-consistent sources and dynamics

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) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Cites Work

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Capture and confinement of solitons in nonlinear integrable systems
Solutions of the nonlocal nonlinear Schrödinger hierarchy via reduction
Interaction of solitary waves in the system described by the Kadomtsev- Petviashvili equation with a self-consistent source
Riemann-Hilbert problems and soliton solutions of nonlocal real reverse-spacetime mKdV equations
On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
\(\mathcal{PT}\)-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: stability, interactions and adiabatic excitations
Cauchy matrix approach to integrable equations with self-consistent sources and the Yajima-Oikawa system
Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation
Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrödinger equations
Integration of the soliton hierarchy with self-consistent sources
Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
Solving Non-Isospectral mKdV Equation and Sine-Gordon Equation Hierarchies with Self-Consistent Sources via Inverse Scattering Transform
The Transformation between the AKNS Hierarchy and the KN Hierarchy with Self-Consistent Sources
Solving the hierarchy of the nonisospectral KdV equation with self-consistent sources via the inverse scattering transform
Integration of the nonlinear Schrodinger equation with a source
Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations
TheN-Soliton Solutions for the Modified KdV Equation with Self-Consistent Sources
Integrable nonlocal asymptotic reductions of physically significant nonlinear equations
Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy
Discrete Darboux system with self-consistent sources and its symmetric reduction
The partial-rogue ripple solutions of nonlocal Kadomtsev-Petviashvili equation

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