Keywords: 35C08; 37K40; Fifth order Camassa-Holm (FOCH) model; Pseudo-peakons; Two-peakons; Three-peakons;
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Keywords: 35Q51; 37K40; 35Q53; Soliton; Integrable equation; Hirota bilinear form; Lump solution;
Keywords: primary; 35Q51; 35Q53; secondary; 37K10; 37K40; Gardner equation; Modified KdV equation; Breather; Stability;
Keywords: Coupled nonlinear Schrödinger system; Bright soliton; Gauge transformation; Lax pair; 37K40; 35Q51; 35Q55;
Keywords: 35Q51; 37K10; 37K15; 37K40; Harry Dym; Invertible point transformation; High-frequency limit; Multi-phase solutions; Lax pair;
Keywords: Complex integrable dispersionless equation; Hirota method; Pfaffian; Soliton interation35Q53; 37K10; 35C05; 37K40
Keywords: Nonlocal modified Korteweg-de Vries equation; Integrability; Darboux transformation; Soliton solutions37K10; 37K40
Miura and auto-Bäcklund transformations for the discrete KP and mKP hierarchies and their constrained cases
Keywords: The dKP and mdKP hierarchies; The cdKP and cmdKP hierarchies; Miura transformation; Auto-Bäcklund transformation; 02.30.Ik; 35Q51; 37K10; 37K40;
Families of semi-rational solutions to the Kadomtsev-Petviashvili I equation
Keywords: Kadomtsev-Petviashvili I equation; KP hierarchy reduction method; Breathers; Lumps; Semi-rational solutions; 35Q51; 35Q55; 37K10; 37K35; 37K40;
Nonlinear waves in layered media: Solutions of the KdV-Burgers equation
Keywords: 35Q53; 37K40; Kortweg-de Vries-Burgers equation; Layered media; Soliton; Breather; Asymptotics; Conservation law;
Abundant lumps and their interaction solutions of (3+1)-dimensional linear PDEs
Keywords: 35Q51; 35Q53; 37K40; Symbolic computation; Lump solution; Interaction solution;
New classes of solutions in the coupled PT symmetric nonlocal nonlinear Schrödinger equations with four wave mixing
Keywords: Coupled nonlinear Schrödinger system; Soliton; Breathers; Darboux transformation; Lax pair; Four-wave mixing; 37K40; 35Q51; 35Q55;
Affine Toda equations and solutions in the homogeneous grading
Keywords: 81R12; 81R50; 37K30; 37K40; Affine Lie algebras; Affine Toda models; Solitons;
General high-order breathers and rogue waves in the (3+1)-dimensional KP-Boussinesq equation
Keywords: (3+1)-dimensional KP-Boussinesq equation; Rogue wave solution; Bilinear method; Breather solution; 35Q51; 35Q55; 37K10; 37K35; 37K40;
Soliton perturbation theory for matrix complex modified Korteweg-de Vries equation
Keywords: 37K40; Integrable matrix equation; Complex modified KdV equation; Soliton perturbation theory; Continuous and discrete eigenfunctions;
On the modified KP hierarchy: Tau functions, squared eigenfunction symmetries and additional symmetries
Keywords: 35Q53; 37K10; 37K40; Modified KP hierarchy; Tau functions; Squared eigenfunction symmetries; Additional symmetries;
On nonlinear superposition of the KdV-Burgers shock waves and the behavior of solitons in a layered medium
Keywords: 35Q53; 37K40; 35B06; KdV-Burgers equation; Nonlinear superposition; Invariant solution; Soliton;
On periodic wave solutions of the KdV6 equation via bilinear Bäcklund transformation
Keywords: 35B10; 35Q51; 37K40; KdV6 equation; Bilinear Bäcklund transformation; Periodic wave solutions; Dynamical behaviors;
Collisional dynamics of solitons in the coupled PT symmetric nonlocal nonlinear Schrödinger equations
Keywords: PT symmetry; Coupled nonlinear Schrödinger system; Bright soliton; Dark soliton; Darboux transformation; Lax pair; 37K40; 35Q51; 35Q55;
On the growth of Sobolev norms of solutions of the fractional defocusing NLS equation on the circle
Keywords: 37K40; 35B45; Hamiltonian systems; Fractional nonlinear Schrödinger equation; Nonlinear wave equation; Dispersive properties;
On a family of KP multi-line solitons associated to rational degenerations of real hyperelliptic curves and to the finite non-periodic Toda hierarchy
Keywords: 37K40; 37K20; 14H50; 14H70; Total positivity; KP equation; Hyperelliptic curves; Duality of Grassmann cells; Space-time inversion; Finite non periodic Toda hierarchy;
Mixed-type soliton solutions for the N-coupled higher-order nonlinear schrödinger equation in optical fibers
Keywords: N-coupled higher-order nonlinear Schrödinger equation; Mixed-type soliton solutions; Oblique interactions; Bound states of solitons; Elastic and inelastic interactions; 35Q55; 37K40;
A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system
Keywords: 37K10; 37K40; 42C05; 65F15Generalized eigenvalue problem; Nonautonomous discrete integrable system; RII chain; dqds algorithm; Orthogonal polynomials
Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice
Keywords: primary; 37K15; 37K40; secondary; 35Q51; 34A55; Multipeakons; Camassa-Holm; Inverse spectral problem; Kac-van Moerbeke lattice;
Topological and non-topological soliton solutions of Hamiltonian amplitude equation by He’s semi-inverse method and ansatz approach
Keywords: 35Q51; 37K40; 35Q80He’s semi-inverse method; Ansatz method; Hamiltonian amplitude equation
Variational properties and orbital stability of standing waves for NLS equation on a star graph
Keywords: 35Q55; 81Q35; 37K40; 37K45Quantum graphs; Non-linear Schrödinger equation; Solitary waves
Effects of the amplifier location in interchannel soliton collisions in periodic dispersion maps in the presence of third order dispersion
Keywords: 35A15; 35Q51; 37K40; 42.65Sf; 42.65.Tg; 42.81Dp; Optical solitons; Dispersion management; Wavelength division multiplexing; Third order dispersion; Optical fiber communication;
The nonlinear Schroedinger equation: Solitons dynamics
Keywords: 35Q55; 35Q51; 37K40; 37K45; 47J35Soliton dynamics; Nonlinear Schroedinger equation; Orbital stability; Concentration phenomena; Semiclassical limit
On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources
Keywords: 02.30.Ik; 35Q58; 37K40; Source generation procedure; Non-isospectral KP equation; Grammian determinant solution; Pfaffianization; Self-consistent sources;
On the asymptotic stability of solitary waves in the discrete Schrödinger equation coupled to a nonlinear oscillator
Keywords: 35Q55; 37K40; Discrete Schrödinger equation; Solitary waves; Asymptotic stability;
Pfaffianization of the discrete three-dimensional three wave interaction equation
Keywords: 37K10; 37K40; Discrete three-dimensional three wave equation; Pfaffianization; Discrete Gram-type determinant solution; Gram-type pfaffian;