Keywords: دگرگونی; Self-induced transparency; Maxwell-Bloch equations; Breather solution interactions; Breather solution degeneration; Darboux transformation;
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Keywords: دگرگونی; Integrable system; Periodic solution; Rational solution; Darboux transformation; Reduced Maxwell-Bloch equations;
Keywords: دگرگونی; Vector breather-to-soliton transitions; Higher-order NLS-MB system with sextic terms; Darboux transformation; Breather-soliton interactions;
Keywords: دگرگونی; Discrete integrable systems; Solitons; Darboux transformation;
Keywords: دگرگونی; Three-wave resonant interactions; Darboux transformation; Multi-dark-dark-dark soliton; Breathers; Rogue waves; Stability;
Keywords: دگرگونی; The reduced Maxwell-Bloch system; Non-vanishing background; Darboux transformation; Soliton solutions; Periodic solutions;
Keywords: دگرگونی; Optical fiber; Higher-order nonlinear Schrödinger equation; Darboux transformation; Lax pair; Infinitely-many conservation laws; Solitons;
Keywords: دگرگونی; Massive Thirring model; Darboux transformation; Rogue wave;
Keywords: دگرگونی; Soliton solution; Rogue wave solution; Darboux transformation; Complex short pulse equation;
Keywords: دگرگونی; Rogue wave; Darboux transformation; Nonlinear Schrödinger equation; 02.30.Ik; 02.30.Jr; 47.10.A;
Keywords: دگرگونی; Generalized nonlinear Schrödinger and Maxwell–Bloch system; Darboux transformation; Breathers; Rogue waves; Hybrid solutions42.65.Tg; 42.65.Sf; 05.45.Yv; 02.30.Ik
Keywords: دگرگونی; Darboux transformation; Soliton; Shape-changing collision; Alpha helical proteins with interspine coupling at higher order; Optical communication05.45.Yv; 02.30.Ik; 87.10.+e; 87.15.−v; 87.14.Ee
Keywords: دگرگونی; Soliton management; Nonlinear tunneling; Generalized external potentials; Darboux transformation; Generalized nonautonomous NLS equation
Keywords: دگرگونی; 81S10; 53Z05; Green function; Propagator; Darboux transformation;
Keywords: دگرگونی; Rogue wave; Darboux transformation; Soliton;
Keywords: دگرگونی; Nonlinear tunneling; Optical similaritons; Darboux transformation;
Keywords: دگرگونی; Hirota–Maxwell–Bloch system; Darboux transformation; Modulation instability; Bound soliton; Breathers
Keywords: دگرگونی; Matrix Lie algebra; Quadratic-form identity; Bi-Hamiltonian structure; Darboux transformation
Keywords: دگرگونی; Binary Bell polynomials; Double Wronskian solutions; Bäcklund transformation and Lax pair; Darboux transformation; Infinite conservation laws
Keywords: دگرگونی; Nonlocal modified Korteweg-de Vries equation; Integrability; Darboux transformation; Soliton solutions37K10; 37K40
Keywords: دگرگونی; The coupled Fokas–Lenells equation; Darboux transformation; Soliton; Breather; Rogue wave
Keywords: دگرگونی; Generalized mixed nonlinear schrödinger equation; Modulational instability; Darboux transformation; Rogue waves; Semirational solutions05.45.Yv; 42.50.Md; 42.65.Tg; 42.81.Dp
Dark and antidark solitons for the defocusing coupled Sasa-Satsuma system by the Darboux transformation
Keywords: دگرگونی; Soliton; Darboux transformation; Defocusing coupled Sasa-Satsuma system;
Degeneracy in bright-dark solitons of the Derivative Nonlinear Schrödinger equation
Keywords: دگرگونی; Derivative Nonlinear Schrödinger equation; Bright-dark solitons degeneration; Quasi-rational solutions; Rogue waves; Darboux transformation;
Soliton solutions to the Novikov equation and a negative flow of the Novikov hierarchy
Keywords: دگرگونی; Novikov equation; Reciprocal transformation; Darboux transformation; Soliton solutions;
Abundant exact solutions to the discrete complex mKdV equation by Darboux transformation
Keywords: دگرگونی; Discrete cmKdV equation; Darboux transformation; Exact solution; Numerical simulation;
Dynamics of rogue waves in the partially PT-symmetric nonlocal Davey-Stewartson systems
Keywords: دگرگونی; Nonlocal Davey-Stewartson equations; Darboux transformation; Rogue waves;
High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem
Keywords: دگرگونی; Riemann-Hilbert problem; Darboux transformation; High-order soliton solution; Asymptotic analysis;
Soliton solutions of the sine-Gordon equation on the half line
Keywords: دگرگونی; Solitons; Boundary-value problems; Sine-Gordon equation; Boundary bound states; Darboux transformation;
Bäcklund-Darboux transformations and discretizations of N = 2 a = â2 supersymmetric KdV equation
Keywords: دگرگونی; Supersymmetric integrable system; Bäcklund transformation; Darboux transformation; Nonlinear superposition formula; Discrete integrable system;
Discrete modified Boussinesq equation and Darboux transformation
Keywords: دگرگونی; Discrete modified Boussinesq; Hirota-Miwa equation; Darboux transformation; Casoratian determinant; Soliton solution;
Darboux transformation and soliton solutions in the parity-time-symmetric nonlocal vector nonlinear Schrödinger equation
Keywords: دگرگونی; Darboux transformation; Solitons; Nonlocal vector nonlinear Schrödinger equation;
Reductions of Darboux transformations for the PT-symmetric nonlocal Davey-Stewartson equations
Keywords: دگرگونی; PT-symmetric nonlocal Davey-Stewartson equations; Darboux transformation; Rogue waves;
Lax pair, infinitely many conservation laws and solitons for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation with time-dependent coefficients
Keywords: دگرگونی; (2+1)-dimensional Heisenberg ferromagnetic spin chain equation; Lax pair; Infinitely many conservation laws; Solitons; Darboux transformation;
Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
Keywords: دگرگونی; The coupled NLS equation; Darboux transformation; Breather wave; Rogue wave; Solitary wave;
Rational soliton solutions in the parity-time-symmetric nonlocal coupled nonlinear Schrödinger equations
Keywords: دگرگونی; PT-symmetric nonlocal coupled nonlinear Schrödinger equations; Darboux transformation; Rational soliton;
Optical rogue waves for the coherently coupled nonlinear Schrödinger equation with alternate signs of nonlinearities
Keywords: دگرگونی; Coherently coupled nonlinear Schrödinger equation with alternate signs of nonlinearities; Darboux transformation; Rogue wave;
Generation mechanism of rogue waves for the discrete nonlinear Schrödinger equation
Keywords: دگرگونی; Darboux transformation; Breathers; Rogue wave; Structural discontinuities;
Preventable interaction of attosecond soliton in an inhomogeneous lossy fiber: Application to dispersion and nonlinearity management
Keywords: دگرگونی; Attosecond soliton; Darboux transformation; Soliton management; Preventable interaction;
Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber
Keywords: دگرگونی; Optical fiber; Sixth-order nonlinear Schrödinger equation; Darboux transformation; Breather-to-soliton transition;
Rational solutions for the nonlocal sixth-order nonlinear Schrödinger equation
Keywords: دگرگونی; Nonlocal nonlinear Schrödinger equations; Lax pair; Darboux transformation; Rational solutions;
New classes of solutions in the coupled PT symmetric nonlocal nonlinear Schrödinger equations with four wave mixing
Keywords: دگرگونی; Coupled nonlinear Schrödinger system; Soliton; Breathers; Darboux transformation; Lax pair; Four-wave mixing; 37K40; 35Q51; 35Q55;
Darboux transformation and nonautonomous solitons for a modified Kadomtsev-Petviashvili equation with variable coefficients
Keywords: دگرگونی; Nonautonomous solitons; Asymptotic analysis; MKP equation with variable coefficients; Darboux transformation;
New soliton solutions for the (2+1)-dimensional Schrödinger-Maxwell-Bloch equation
Keywords: دگرگونی; The (2+1)-dimensional Schrödinger-Maxwell-Bloch equation; Darboux transformation; Soliton solutions;
Higher-order rational solutions for a new integrable nonlocal fifth-order nonlinear Schrödinger equation
Keywords: دگرگونی; 35Q55; 37K10; Nonlocal nonlinear Schrödinger equation; Lax pair; Darboux transformation; Rational solution;
Nonlocal symmetry, Darboux transformation and soliton-cnoidal wave interaction solution for the shallow water wave equation
Keywords: دگرگونی; Shallow water wave equation; Nonlocal symmetry; Darboux transformation; Soliton-cnoidal wave interaction solution;
Darboux transformation of the coupled nonisospectral Gross-Pitaevskii system and its multi-component generalization
Keywords: دگرگونی; Coupled Gross-Pitaevskii system; Darboux transformation; Soliton; Breather; Rogue wave;
Three-component nonlinear Schrödinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics
Keywords: دگرگونی; Three-component nonlinear Schrödinger equations; Modulational instability; Darboux transformation; Nth-order vector rational and semi-rational rogue waves; Superposition of rogue waves; Dynamics;
A new nonlinear wave equation: Darboux transformation and soliton solutions
Keywords: دگرگونی; 35Q51; 37K10; 35Q58; 35L65; Nonlinear wave equation; Darboux transformation; Soliton solutions;
Higher dimensional Darboux transformations
Keywords: دگرگونی; Darboux transformation; Intertwining operators; Boiti-Leon-Pempinelli equation; Partial differential equations; Soliton-like nonlinear equations;