Inverse scattering transform for continuous and discrete space-time-shifted integrable equations

Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton solutions (35C08)

Cites Work

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The nonlinear Schrödinger equation. Singular solutions and optical collapse
Soliton solutions of the shifted nonlocal NLS and MKdV equations
Reduced non-local integrable NLS hierarchies by pairs of local and non-local constraints
Integrable space-time shifted nonlocal nonlinear equations
Solutions to integrable space-time shifted nonlocal equations
Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
The Geroch group and non-Hausdorff twistor spaces
Nonlinear differential−difference equations
Nonlinear differential–difference equations and Fourier analysis
The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
Reductions of self-dual Yang-Mills fields and classical systems
Method for Solving the Korteweg-deVries Equation
Integrable Nonlocal Nonlinear Equations
On three-dimensional packets of surface waves
Integrable nonlocal asymptotic reductions of physically significant nonlinear equations
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Finite-gap solutions of nonlocal equations in Ablowitz-Kaup-Newell-Segur hierarchy
On a new non-local formulation of water waves
Integrals of nonlinear equations of evolution and solitary waves
Six wave interaction equations in finite-depth gravity waves with surface tension
On self-dual gauge fields
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation

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