Dynamics of the coupled (2+1)-dimensional Fokas system

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton solutions (35C08)

Cites Work

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Discrete spectrum of \(2 + 1\)-dimensional nonlinear Schrödinger equation and dynamics of lumps
Solitons and infinite dimensional Lie algebras
On the integrability of equations of Davey-Stewartson type
Lump-soliton solutions to the Fokas system
Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation
Localized coherent structures and integrability in a generalized \((2+1)\)-dimensional nonlinear Schrödinger equation
On the discrete spectrum of the nonstationary Schrödinger equation and multipole lumps of the Kadomtsev-Petviashvili I equation
Doubly localized two-dimensional rogue waves in the Davey-Stewartson I equation
Rogue waves in the generalized derivative nonlinear Schrödinger equations
Universal rogue wave patterns associated with the Yablonskii-Vorob'ev polynomial hierarchy
Rogue wave patterns in the nonlinear Schrödinger equation
Pattern transformation in higher-order lumps of the Kadomtsev-Petviashvili I equation
General breather and rogue wave solutions to the complex short pulse equation
Dynamics of rogue lumps on a background of two-dimensional homoclinic orbits in the Fokas system
Doubly localized rogue waves on a background of dark solitons for the Fokas system
Solitons, breathers and rational solutions for a (2+1)-dimensional dispersive long wave system
General N-Dark-Dark Solitons in the Coupled Nonlinear Schrödinger Equations
GeneralN-soliton solution to a vector nonlinear Schrödinger equation
On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation
Dynamics of Lump Solutions in a 2 + 1 NLS Equation
Two-dimensional lumps in nonlinear dispersive systems
On the simplest integrable equation in 2+1
Rational solutions of the Kadomtsev–Petviashvili hierarchy and the dynamics of their poles. I. New form of a general rational solution
Solutions to the Time Dependent Schrödinger and the Kadomtsev-Petviashvili Equations
Method for Solving the Korteweg-deVries Equation
Remarks on the Yablonskii-Vorob’ev polynomials
Semi-rational solutions of the third-type Davey-Stewartson equation
The Derivative Yajima–Oikawa System: Bright, Dark Soliton and Breather Solutions
Darboux transformation and solutions for an equation in 2+1 dimensions
Some reductions of the self-dual Yang–Mills equations to integrable systems in 2+1 dimensions
Dynamics of rogue waves in the Davey–Stewartson II equation
General rogue waves in the three-wave resonant interaction systems
Determinant structure of the rational solutions for the Painlevé II equation
General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
Rational Solutions for the Fokas System
Rogue waves and their patterns in the vector nonlinear Schrödinger equation
The coupled modified Yajima-Oikawa system: model derivation and soliton solutions

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