Toward a classification of quasirational solutions of the nonlinear Schrödinger equation

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

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Degenerate Riemann theta functions, Fredholm and Wronskian representations of the solutions to the KdV equation and the degenerate rational case

Cites Work

The Peregrine breather of order nine and its deformations with sixteen parameters solutions to the NLS equation
Exact first-order solutions of the nonlinear Schrödinger equation
Two parameters wronskian representation of solutions of nonlinear Schrödinger equation, eighth Peregrine breather and multi-rogue waves
Water waves, nonlinear Schrödinger equations and their solutions
Families of quasi-rational solutions of the NLS equation and multi-rogue waves
Lie symmetries of a generalised nonlinear Schrodinger equation: I. The symmetry group and its subgroups
Lie symmetries of a generalised non-linear Schrodinger equation. II. Exact solutions
Lie symmetries of a generalised non-linear Schrodinger equation. III. Reductions to third-order ordinary differential equations
Rogue waves, rational solutions, the patterns of their zeros and integral relations
TRIP
Other 2N− 2 parameters solutions of the NLS equation and 2N+ 1 highest amplitude of the modulus of theNth order AP breather
General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
Degenerate determinant representation of solutions of the nonlinear Schrödinger equation, higher order Peregrine breathers and multi-rogue waves
Six-parameters deformations of fourth order Peregrine breather solutions of the nonlinear Schrödinger equation
The Fifth Order Peregrine Breather and Its Eight-Parameter Deformations Solutions of the NLS Equation
Superregular solitonic solutions: a novel scenario for the nonlinear stage of modulation instability

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