Keywords: 42.65.Tg; 05.45.Yv; Dark ring soliton; 2D self-defocusing NLS equation; Korteweg-de Vries equation;
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Keywords: Optical solitons; Nonlinear Schrödinger equation; Nonlinear optical waveguides; Lotka-Volterra models; Hopf bifurcations; 42.65.Tg; 42.65.Sf; 05.45.Yv;
Keywords: Localized magnetization; Spin torque; Rogue waves; Conservation laws; Modulation instability; Spatial-temporal structures; 05.45.Yv; 04.30.Nk; 42.81.Dp;
Keywords: Two-component integrable equations; Lie point symmetries; Similarity reductions; Conservation laws; Analytical solutions,; 02.30.Jr; 02.30.Ik; 05.45.Yv;
Keywords: Inverse problem; Spectral data; Two-multiple poles; Line spectrum of continuum states; 00.30.Lk; 02.30.Jr; 05.45.Yv;
Keywords: 02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.Fg; Exact solutions; The time fractional differential equations; Fractional complex transform; Symbolic computation; The exp(âΦ(ξ)) method;
Keywords: Kraenkel-Manna-Merle system; Lax-pairs; Inverse scattering transform; Soliton solutions; 05.45.Yv;
Keywords: 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: 05.45.Yv; 75.10.Dg; 75.78.-n; Keywords:; Ferromagnetic spin system; Soliton; Linear stability analysis;
Keywords: super-Lie algebra; super-integrable hierarchy; super-bi-Hamiltonian structure; 05.45.Yv; 02.30.Jr; 02.30.Ik;
Keywords: 42.65.Sf; 42.70.Qs; 05.45.Yv; 42.50.GyGaussian beam; Inverted nonlinear photonic crystals; Electromagnetically induced transparency; Propagation dynamics; Dynamical symmetry breaking
Keywords: 78A60; 37K10; 35Q51; 35Q5502.30.Jr; 05.45.Yv; 02.30.Ik060.2310; 060.4510; 060.5530; 190.3270; 190.4370Solitons; Integrability; Semi-inverse variational principle
Keywords: 02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.FgDark soliton; The modified Korteweg de Vries-type equation; The dissipative (2+1) dimensional Ablowitz–Kaup–Newell–Segur (AKNS) equation; Exact solution
Cnoidal and solitary waves of a nonlinear Schrödinger equation in an optical fiber
Keywords: 05.45.Yv; 04.20.Jb; 42.65.Tg; Nonlinear Schrödiger equation; Optical fiber; Cnoidal soliton; Telecommunication systems;
Application of the improved F-expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations
Keywords: Improved F-expansion method; Benney-Luke equation; Phi-4 equation; Exact solution; NLEEs; 02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.Fg; 35K99; 35P05; 35P99;
An integrable generalization of the super AKNS hierarchy and its bi-Hamiltonian formulation
Keywords: A Lie super-algebra; Super Hamiltonian structure; Self-consistent sources; 02.30.Ik; 05.45.Yv; 11.30.Pb;
On soliton structure of isospectral Vakhnenko equation: WKI-eigenvalue problem
Keywords: 02.30.Ik; 05.45.Yv; Isospectral Vakhnenko equation; Inverse scattering method; Soliton;
A generalized super AKNS hierarchy associated with Lie superalgebra sl(2|1) and its super bi-Hamiltonian structure
Keywords: Super soliton hierarchy; Supertrace identity; Super Hamiltonian structure; 02.30.Ik; 05.45.Yv; 11.30.Pb;
New analytic solutions of two-dimensional nonlocal nonlinear media
Keywords: Nonlocal nonlinear optical media; Exact analytical solutions; Similarity reduction; Soliton solution; 05.45.Yv; 02.20.Sv; 42.65.Tg;
Solitonic interaction and Pfaffianization for a (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid
Keywords: Two-layer liquid; (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation; Bäcklund transformation; Solitonic interaction; Pfaffianization; 47.35.Fg; 05.45.Yv; 02.30.Jr;
Nonlinear wave solutions for an integrable sixth-order nonlinear Schrödinger equation in an optical fiber
Keywords: 05.45.Yv; 47.35.Fg; 02.30.Jr; Optical fiber; Sixth-order nonlinear Schrödinger equation; Darboux transformation; Solitons; Breathers; Rogue waves;
Interaction of the nonautonomous soliton in the optical fiber
Keywords: 05.45.Yv; 52.35.Mw; 52.35.Sb; Nonautonomous soliton; Darboux transformation; Optical fiber;
Interaction solutions for supersymmetric mKdV-B equation
Keywords: Supersymmetric mKdV-B equation; Bosonization approach; Consistent tanh expansion method; Interaction solutions02.30.Ik; 05.45.Yv
High-order rogue waves of the coupled nonlinear Schrödinger equations with negative coherent coupling in an isotropic medium
Keywords: The second-order rogue waves; Coupled nonlinear Schrödinger equations; Isotropic medium; Generalized Darboux transformation; 42.65.Tg; 05.45.Yv; 02.30.Ik;
Group analysis, exact solutions and conservation laws of a generalized fifth order KdV equation
Keywords: Fifth order KdV equation; Symmetry analysis; Exact solutions; Conservation laws02.30.Jr; 05.45.Yv; 02.30.Ik
Suppressing the critical collapse of solitons by one-dimensional quintic nonlinear lattices
Keywords: 05.45.Yv; 03.75.Kk; 03.75.Lm; 42.65.TgSolitons; Dynamic properties of condensates; Bose–Einstein condensates in periodic potentials; Optical solitons
Improved Bell-polynomial procedure for the higher-order Korteweg-de Vries equations in fluid dynamics
Keywords: The seventh- and ninth-order Lax's KdV equations in fluid dynamics; Bell-polynomial procedure; Auxiliary independent variables; Bäcklund transformation; Lax pair; Infinite conservation laws; 05.45.Yv; 02.70.Wz; 02.30.Jr;
Extended trial equation method for nonlinear coupled Schrodinger Boussinesq partial differential equations
Keywords: Nonlinear partial differential equations; Extend trial equation method; Traveling wave solutions; Soliton solutions; Jacobi elliptic functions02.30.Jr; 05.45.Yv; 02.30.Ik34A36; 34L05; 47A70
Nonautonomous rogue waves and ‘catch’ dynamics for the combined Hirota–LPD equation with variable coefficients
Keywords: Nonlinear Schro¨dinger equation with higher-order terms; Nonautonomous rogue wave; Controllable behavior; Darboux transformation02.30.Ik; 05.45.Yv; 42.65.Tk
Extended auxiliary equation method and its applications for finding the exact solutions for a class of nonlinear Schrödinger-type equations
Keywords: Extended auxiliary equation method; Jacobi elliptic function solutions; Solitary wave solutions; Trigonometric solutions; Nonlinear PDEs in mathematical physics02.30.Jr; 04.20.Jb; 05.45.Yv
Explicit bright and dark solitons for the variable coefficient Biswas-Milovic equation with competing nonlinearity
Keywords: 02.30.Ik; 02.30.Jr; 04.20.Jb; 05.45.Yv; Solitons; Integrability; Biswas-Milovic equation; Jacobi elliptic functions;
New Soliton Hierarchies Associated with the Lie Algebra so(3,
â) and their BI-Hamiltonian Structures
Keywords: soliton hierarchy; matrix spectral problem; Lie algebra so(3, â); Hamiltonian structure; symbolic computation; 02.30.Ik; 02.30.Jr; 05.45.Yv;
Kink scattering from a parity-time-symmetric defect in the Ï4 model
Keywords: Soliton; Ï4 model; Parity-time symmetry; Kink's internal mode; Collective coordinate method; 05.45.Yv; 45.50.Tn; 05.45.-a;
New traveling wave solutions of Drinefel’d–Sokolov–Wilson Equation using Tanh and Extended Tanh methods
Keywords: Nonlinear equations; Tanh method; Extended Tanh method; Traveling wave solutions02.30.Jr; 05.45.Yv; 02.30.Ik
Exact solutions for power-law regularized long-wave and R(m, n) equations with time-dependent coefficients
Keywords: simplest equation method; solitons; regularized long-wave equation with time-dependent coefficients02.30.Jr; 05.45.Yv
Novel Soliton Interaction Behaviours in the (2+1)-Dimensional Asymmetric Nizhnik-Novikov-Veselov System
Keywords: 05.45.Yv; 02.30. Jr; 03.65.Gemodified Riccati equation method; asymmetric Nizhnik-Novikov-Veselov system; variable separation solutions; exotic interactions
Bilinear Equations and Resonant Solutions Characterized by Bell Polynomials
Keywords: bilinear equation; resonant solution; Bell polynomials; 02.30.Ik; 02.30.Xx; 05.45.Yv;
Hidden solitons in the Zabusky-Kruskal experiment: Analysis using the periodic, inverse scattering transform
Keywords: 05.45.Yv; 02.30.Ik; 35Q51; 35P25; Hidden solitons; Korteweg-de Vries equation; Inverse scattering transform; Nonlinear Fourier analysis;
Collision dynamics of elliptically polarized solitons in Coupled Nonlinear Schrödinger Equations
Keywords: 02.70.-c; 05.45.Yv; 42.65.Tg; Coupled Nonlinear Schrödinger Equations; Elliptic polarization; Phase shift; Trapping effect;
Numerical simulation of propagation of solitary deformation waves in a compressible hyperelastic rod
Keywords: 05.45.Yv; Solitary waves; Solitons; Hyperelasticity; Cylindrical rods; Pseudospectral methods;
Exact chirped solitary-wave solutions for Ginzburg–Landau equation
Keywords: 02.30.Jr; 05.45.Yv; 47.11.+jGinzburg–Landau equation; Chirped bright solitary-wave; Dark solitary-wave; Ansatz approach
Application of the Exp-function method for nonlinear differential-difference equations
Keywords: 02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.Fg; Exp-function method; Langmuir lattice; Relativistic Toda lattice system;
Supersymmetric KdV-Sawada-Kotera-Ramani equation and its quasi-periodic wave solutions
Keywords: 11.30.Pb; 05.45.Yv; 02.30.Gp; 45.10.-b; Supersymmetric KdV-Sawada-Kotera-Ramani equation; The Hirota's bilinear method; Super-Riemann theta function; Quasi-periodic wave solutions;
The hierarchy of an integrable coupling and its Hamiltonian structure
Keywords: 05.45.Yv; 02.30.JrIntegrable coupling; Hamiltonian structure; Trace identity; Quadratic identity
Nonautonomous “rogons” in the inhomogeneous nonlinear Schrödinger equation with variable coefficients
Keywords: 05.45.Yv; 42.65.-k; 42.81.Dp; 42.65.Sf; 03.75.LmInhomogeneous NLS equation with variable coefficients; Similarity transformation; Rational-like solutions; Rogue waves; Rogons
Soliton dynamics and elastic collisions in a spin chain with an external time-dependent magnetic field
Keywords: 05.45.Yv; 75.10.Hk; 02.30.Ik; 02.30.JrSoliton; Landau–Lifshitz-type equation; Elastic collision; Darboux transformation
A generalized sub-equations rational expansion method for nonlinear evolution equations
Keywords: 02.30.Jr; 05.45.Yv; Nonlinear evolution equations; Generalized sub-equations rational expansion method; (2Â +Â 1)-Dimensional Burgers equations; Complexiton solutions;
Travelling wave solutions for the nonlinear dispersion Drinfel’d–Sokolov (D(m,n)D(m,n)) system
Keywords: 05.45.Yv; 02.30.JrTravelling wave solutions; Weierstrass elliptic function method; The nonlinear dispersion D(m,n)D(m,n) system
A chaos secure communication scheme based on multiplication modulation
Keywords: 05.45.−a; 05.45.Df; 05.45.Gg; 05.45.Jn; 05.45.Pq; 05.45.Tp; 05.45.Vx; 05.45.Xt; 05.45.Yv; 87.53.Vb; 87.64.Aa; 89.70.+c; 89.75.−kChaotic cryptosystems; Cryptography; Spread spectrum; Multiplication modulation; Chaos multiplication; Encryption; Synchronizat
New interaction solutions to the KdV equation
Keywords: 05.45.Yv; 02.30.Ik; 02.30.JrKdV equation; Wronskian technique; Interaction solution; Jacobi elliptic function