Keywords: 02.30.I; Two-component integrable equations; Lie point symmetries; Similarity reductions; Conservation laws; Analytical solutions,; 02.30.Jr; 02.30.Ik; 05.45.Yv;
مقالات ISI 02.30.I (ترجمه نشده)
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Keywords: 02.30.I; 02.30.Ik; 11.30.−jBi-integrable coupling; Zero curvature equation; Hamiltonian structure
Keywords: 02.30.I; Rogue wave; Darboux transformation; Nonlinear Schrödinger equation; 02.30.Ik; 02.30.Jr; 47.10.A;
Keywords: 02.30.I; sine-Gordon equation; semi-discrete equation; conservation laws05.45.Yv; 02.30.Jr; 02.30.Ik
Keywords: 02.30.I; 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: 02.30.I; 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: 02.30.I; super-Lie algebra; super-integrable hierarchy; super-bi-Hamiltonian structure; 05.45.Yv; 02.30.Jr; 02.30.Ik;
Keywords: 02.30.I; 02.30.Ik; 05.45.YvNonisospectral breaking soliton equation; Hirota method; Wronskian technique; Reduction
Miura and auto-Bäcklund transformations for the discrete KP and mKP hierarchies and their constrained cases
Keywords: 02.30.I; The dKP and mdKP hierarchies; The cdKP and cmdKP hierarchies; Miura transformation; Auto-Bäcklund transformation; 02.30.Ik; 35Q51; 37K10; 37K40;
On soliton structure of isospectral Vakhnenko equation: WKI-eigenvalue problem
Keywords: 02.30.I; 02.30.Ik; 05.45.Yv; Isospectral Vakhnenko equation; Inverse scattering method; Soliton;
An integrable generalization of the super AKNS hierarchy and its bi-Hamiltonian formulation
Keywords: 02.30.I; A Lie super-algebra; Super Hamiltonian structure; Self-consistent sources; 02.30.Ik; 05.45.Yv; 11.30.Pb;
A generalized super AKNS hierarchy associated with Lie superalgebra sl(2|1) and its super bi-Hamiltonian structure
Keywords: 02.30.I; Super soliton hierarchy; Supertrace identity; Super Hamiltonian structure; 02.30.Ik; 05.45.Yv; 11.30.Pb;
On the evolution of a rogue wave along the orthogonal direction of the (t, x)-plane
Keywords: 02.30.I; Rogue wave; Localization characters; Contour line method; 02.30.Ik; 03.75.Lm; 42.65.Tg;
Vector rogue waves for the N-coupled generalized nonlinear Schrödinger equations with cubic-quintic nonlinearity in an optical fiber
Keywords: 02.30.I; 02.30.Ik; 02.70.Wz; 42.65.TgN-coupled generalized nonlinear Schrödinger equations with cubic-quintic nonlinearity; Optical fibers; Vector rogue waves; Symbolic computation
High-order rogue waves of the coupled nonlinear Schrödinger equations with negative coherent coupling in an isotropic medium
Keywords: 02.30.I; 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: 02.30.I; Fifth order KdV equation; Symmetry analysis; Exact solutions; Conservation laws02.30.Jr; 05.45.Yv; 02.30.Ik
Explicit bright and dark solitons for the variable coefficient Biswas-Milovic equation with competing nonlinearity
Keywords: 02.30.I; 02.30.Ik; 02.30.Jr; 04.20.Jb; 05.45.Yv; Solitons; Integrability; Biswas-Milovic equation; Jacobi elliptic functions;
Note on same result of different ansätz based on extended tanh-function method for nonlinear models
Keywords: 02.30.I; Extended tanh-function method; Positive power-form ansatz; Positive and negative power-symmetric ansatz; Radical sign combined ansatz; Variable-coefficient; Boiti–Leon–Pempinelli equation05.45.Yv; 02.30.Jr; 02.30.Ik
Two (2+1)-dimensional expanding dynamical systems associated to the mKP hierarchy
Keywords: 02.30.I; mKP hierarchy; TAH scheme; (2+1)-dimensional hierarchy05.45.Yv; 02.30.Jr; 02.30.Ik
New Soliton Hierarchies Associated with the Lie Algebra so(3,
â) and their BI-Hamiltonian Structures
Keywords: 02.30.I; soliton hierarchy; matrix spectral problem; Lie algebra so(3, â); Hamiltonian structure; symbolic computation; 02.30.Ik; 02.30.Jr; 05.45.Yv;
New traveling wave solutions of Drinefel’d–Sokolov–Wilson Equation using Tanh and Extended Tanh methods
Keywords: 02.30.I; Nonlinear equations; Tanh method; Extended Tanh method; Traveling wave solutions02.30.Jr; 05.45.Yv; 02.30.Ik
Chirped and chirpfree soliton solutions of generalized nonlinear Schrödinger equation with distributed coefficients
Keywords: 02.30.I; 02.30.Jr; 02.30.Ik; 05.45.YvNonlinear Schrödinger equation; F-expansion method; Bright and dark soliton
Bäcklund Transformations and Solutions of Some Generalized Nonlinear Evolution Equations
Keywords: 02.30.I; nonlinear evolution equation; Bäcklund transformation; separation of variables; coherent structure; Bell polynomial05.45.Yv; 02.30.Jr; 02.30.Ik
Bilinear Equations and Resonant Solutions Characterized by Bell Polynomials
Keywords: 02.30.I; 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: 02.30.I; 05.45.Yv; 02.30.Ik; 35Q51; 35P25; Hidden solitons; Korteweg-de Vries equation; Inverse scattering transform; Nonlinear Fourier analysis;
A three-parameter difference Hamiltonian operator, corresponding pair of Hamiltonian operators and a family of Liouville integrable lattice equations
Keywords: 02.30.I; 02.30.IK; Difference Hamiltonian operator; Bi-Hamiltonian formulation; Integrable lattice equation; Liouville integrable; Discrete zero curvature representation;
Soliton dynamics and elastic collisions in a spin chain with an external time-dependent magnetic field
Keywords: 02.30.I; 05.45.Yv; 75.10.Hk; 02.30.Ik; 02.30.JrSoliton; Landau–Lifshitz-type equation; Elastic collision; Darboux transformation
New exact solutions to the (2+1)(2+1)-dimensional Konopelchenko–Dubrovsky equation
Keywords: 02.30.I; 02.30.Ik; 02.30.Jr; 04.20.Jb(2+1)(2+1)-Dimensional KD equation; Travelling wave solutions; Complexitons
Emptiness and depletion formation probability in spin models with inverse square interaction
Keywords: 02.30.I; 71.10.Pm; 75.10.Pq; 02.30.Ik; 03.75.Kk; 71.27.+a; EFP; DFP; Integrable models; Calogero-Sutherland; Haldane-Shastry; Hydrodynamics; Collective field theory;
Solutions of the T-system and Baxter equations for supersymmetric spin chains
Keywords: 02.30.I; 17B80; 82B23; 81T40; 81R50; 02.20.Uw; 02.30.Ik; 75.10.Pq; 11.25.Hf; Baxter Q-operator; Bethe ansatz; q-character; Quantum affine superalgebra; Solvable lattice model; T-system;
Infinitely many shape invariant potentials and new orthogonal polynomials
Keywords: 02.30.I; 03.65.-w; 03.65.Ca; 03.65.Fd; 03.65.Ge; 02.30.Ik; 02.30.Gp; Shape invariance; Orthogonal polynomials;
A supersymmetric Sawada–Kotera equation
Keywords: 02.30.I; 02.30.Ik; 05.45.YvIntegrability; Lax representation; Recursion operator; Supersymmetry
New (2Â +Â 1)-dimensional Sine-Gordon equation with self-consistent sources derived by the nonlinear variable separation method
Keywords: 02.30.I; 02.30.Ik; 05.45.Yv; Sine-Gordon equation; Variable separation; Self-consistent source; Exact solution;
Fermionic prolongation structure of the N=1 supersymmetric nonlocal gas equation
Keywords: 02.30.I; 02.30.Ik; 02.30.Jr; 02.40.-k; Supersymmetric nonlocal gas equation; Prolongation structure; Lax pair;
Integrable coupling system of fractional soliton equation hierarchy
Keywords: 02.30.I; 02.30.Ik; 02.30.Jr; Integrable coupling system; Fractional soliton equation; AKNS equation hierarchy;
Permutability of Backlund transformation for N=1 supersymmetric sinh-Gordon
Keywords: 02.30.I; 02.30.Ik; Backlund transformation; Supersymmetric sinh-Gordon; Non-linear superposition formula;
New positon, negaton and complexiton solutions for the Bogoyavlensky–Konoplechenko equation
Keywords: 02.30.I; 02.30.Jr; 02.30.Ik; 05.45.YvComplexiton; Positon; Negaton; Darboux transformation
New interaction solutions to the KdV equation
Keywords: 02.30.I; 05.45.Yv; 02.30.Ik; 02.30.JrKdV equation; Wronskian technique; Interaction solution; Jacobi elliptic function
Discrete tanh method for nonlinear difference-differential equations
Keywords: 02.30.I; 02.70.Wz; 02.30.Ik; 02.30.Jr; 02.90.+pDifference-differential equation; Auxiliary equation; Exact solution
Exp-function method for N-soliton solutions of nonlinear evolution equations in mathematical physics
Keywords: 02.30.I; 02.30.Jr; 02.30.Ik; 05.45.Yv; Nonlinear evolution equations; Exp-function method; N-soliton solutions;
Matter wave interference pattern in the collision of bright solitons
Keywords: 02.30.I; 02.30.Ik; 02.30.Jr; 03.75.Kk; 03.75.LmBose–Einstein condensates; GP equation; Bright solitons; Gauge transformation
Exact solutions to a coupled modified KdV equations with non-uniformity terms
Keywords: 02.30.I; 02.30.Ik; 05.45.YvSoliton solutions; Hirota bilinear form; Pfaffian; Coupled mKdV equations with non-uniformity
Painlevé analysis and exact solutions of the resonant Davey–Stewartson system
Keywords: 02.30.I; 02.30.Jr; 02.30.Ik; 05.45.YvResonant Davey–Stewartson system; Painlevé test; Soliton solution
Spectral properties of supersymmetric Polychronakos spin chain associated with ANâ1 root system
Keywords: 02.30.I; 02.30.Ik; 75.10.Jm; 05.30.-d; 75.10.Pq; Exactly solvable quantum spin chains; Supersymmetry; Partition function; Level density distribution;
An integrable coupling system of lattice hierarchy and its continuous limits
Keywords: 02.30.I; 02.30.Ik; 05.50.+q; Lattice hierarchy; Integrable coupling system; Continuous limit;
Continuous limits for an integrable coupling system of Toda equation hierarchy
Keywords: 02.30.I; 02.30.Ik; 05.50.+q; Lattice hierarchy; Integrable coupling system; Continuous limit;
The Darboux transformation associated with two-parameter lattice soliton equation
Keywords: 02.30.I; 02.30.Ik; 05.45.YvLattice soliton equation; Discrete hamiltonian structure; Lax pairs; Darboux transformation
New exact solutions of the (3+1)-dimensional Burgers system
Keywords: 02.30.I; 05.45.Yv; 02.30.Jr; 02.30.Ik; Exp-function method; Auxiliary equation method; (3+1)-dimensional Burgers system; Exact solutions;
Integrability of a general Gross–Pitaevskii equation and exact solitonic solutions of a Bose–Einstein condensate in a periodic potential
Keywords: 02.30.I; 02.30.Ik; 02.30.Jr; 05.45.Yv
Integrable couplings of C-KdV equations hierarchy with self-consistent sources associated with sl˜(4)
Keywords: 02.30.I; 02.30.Ik; 02.30.JrC-KdV equations hierarchy; Self-consistent sources; Integrable couplings