Keywords: جفت لاکس; Spectral problem; Integrable nonlinear evolution equation; Lax pair; Finite genus solution;
مقالات ISI جفت لاکس (ترجمه نشده)
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Keywords: جفت لاکس; Nonlinear Dirac equation; Localized solution; Lax pair; Soliton; Gross-Neveu model;
Keywords: جفت لاکس; Gardner equation; Lax pair; Nonlocal symmetry; Explicit solution;
Keywords: جفت لاکس; Coupled nonlinear Schrödinger system; Bright soliton; Gauge transformation; Lax pair; 37K40; 35Q51; 35Q55;
Keywords: جفت لاکس; 58D19; 53C42; 37K10; 53A04; Isothermic surfaces; Lie point symmetries; Non-removable parameter; Lax pair; Gauss-Codazzi equations; Clifford algebra;
Keywords: جفت لاکس; 35Q51; 37K10; 37K15; 37K40; Harry Dym; Invertible point transformation; High-frequency limit; Multi-phase solutions; Lax pair;
Keywords: جفت لاکس; Optical fiber; Higher-order nonlinear Schrödinger equation; Darboux transformation; Lax pair; Infinitely-many conservation laws; Solitons;
Keywords: جفت لاکس; 35Q75; 83C15; 37K05; 37K10; General heavenly equation; Lax pair; Recursion operator; Symplectic form; Hamiltonian operator; Jacobi identities;
Keywords: جفت لاکس; 35Q75; 83C15; Bi-Hamiltonian systems; Lax pair; Symplectic structure; Recursion; Partner symmetry;
Keywords: جفت لاکس; Painlevé analysis; Bell polynomials; Bäcklund transformation; Lax pair; Conservation laws
Keywords: جفت لاکس; 35Q75; 83C15; Anti-self-dual gravity; Lax pair; Null tetrad; Coframe; Signature; Curvature 2-forms;
Keywords: جفت لاکس; Peakon; Camassa–Holm equation; Lax pair; Bi-Hamiltonian structure
Lax pair, infinitely many conservation laws and solitons for a (2+1)-dimensional Heisenberg ferromagnetic spin chain equation with time-dependent coefficients
Keywords: جفت لاکس; (2+1)-dimensional Heisenberg ferromagnetic spin chain equation; Lax pair; Infinitely many conservation laws; Solitons; Darboux transformation;
A novel hierarchy of two-family-parameter equations: Local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations
Keywords: جفت لاکس; Two families of parameters; Local, nonlocal, and mixed-local-nonlocal VNLS equations; Lax pair; Conservation laws; PT symmetry; Symmetry reductions;
Integrability aspects of some two-component KdV systems
Keywords: جفت لاکس; Prolongation structure; Lax pair; Conservation law; Painlevé test; Auto-Bäcklund transformation;
Rational solutions for the nonlocal sixth-order nonlinear Schrödinger equation
Keywords: جفت لاکس; 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: جفت لاکس; Coupled nonlinear Schrödinger system; Soliton; Breathers; Darboux transformation; Lax pair; Four-wave mixing; 37K40; 35Q51; 35Q55;
Higher-order rational solutions for a new integrable nonlocal fifth-order nonlinear Schrödinger equation
Keywords: جفت لاکس; 35Q55; 37K10; Nonlocal nonlinear Schrödinger equation; Lax pair; Darboux transformation; Rational solution;
Differential invariants of Einstein-Weyl structures in 3D
Keywords: جفت لاکس; Manakov-Santini equation; Equivalence pseudogroup; Hilbert polynomial; Poincaré function; Lax pair;
An integrable system with peakon, complex peakon, weak kink, and kink-peakon interactional solutions
Keywords: جفت لاکس; 37K10; 35Q51; 35Q58; Generalization of Camassa-Holm equation; Peakon; Complex peakon; Weak kink; Lax pair; Integrable system;
An integrable lattice hierarchy for Merola-Ragnisco-Tu Lattice: N-fold Darboux transformation and conservation laws
Keywords: جفت لاکس; Merola-Ragnisco-Tu equation; Lax pair; Integrable lattice hierarchy; Darboux transformation,;
Long-time asymptotics and the bright N-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
Keywords: جفت لاکس; Kundu-Eckhaus equation; Riemann-Hilbert approach; Lax pair; Long-time asymptotics; Soliton solutions;
Nonlinear evolution equations associated with the Schrödinger spectral problem
Keywords: جفت لاکس; Lax pair; Schrödinger equation; Nonlinear evolution equations;
Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants
Keywords: جفت لاکس; Integrable nonlocal nonlinear schrödinger equation; Lax pair; Loop group method; Generalized darboux transformation; Higher-order rational solitons;
Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system
Keywords: جفت لاکس; Nonlocal symmetry; Drinfeld-Sokolov-Satsuma-Hirota system; Lax pair; Similarity reduction;
Solitons, periodic waves, breathers and integrability for a nonisospectral and variable-coefficient fifth-order Korteweg-de Vries equation in fluids
Keywords: جفت لاکس; Fluids; Nonisospectral and variable-coefficient fifth-order Korteweg-de Vries equation; Bell polynomials; Hirota method; N-soliton solutions; Bäcklund transformation; Lax pair; Periodic waves; Breathers;
Solitons, Bäcklund transformation and Lax pair for a (2+1)-dimensional Broer-Kaup-Kupershmidt system in the shallow water of uniform depth
Keywords: جفت لاکس; Shallow water of uniform depth; (2+1)-Dimensional broer-Kaup-Kupershmidt system; Bell polynomials; Soliton solutions; Bäcklund transformation; Lax pair;
Collisional dynamics of solitons in the coupled PT symmetric nonlocal nonlinear Schrödinger equations
Keywords: جفت لاکس; PT symmetry; Coupled nonlinear Schrödinger system; Bright soliton; Dark soliton; Darboux transformation; Lax pair; 37K40; 35Q51; 35Q55;
Symbolic computation on tunable nonautonomous solitons in inhomogeneous NLS system with generalized external potential
Keywords: جفت لاکس; Optical solitons; Inhomogeneous systems; Nonlinear Schrodinger equation; Lax pair; Darboux transformation;
Nonlocal general vector nonlinear Schrödinger equations: Integrability, PTPT symmetribility, and solutions
Keywords: جفت لاکس; Nonlocal general VNLS equations; Lax pair; Conservation laws; PTPT symmetribility; Symmetry reductions; Exact solutions; Solitons
Persistent bright solitons in sign-indefinite coupled nonlinear Schrödinger equations with a time-dependent harmonic trap
Keywords: جفت لاکس; Coupled nonlinear Schrödinger system; Bright soliton; Gauge transformation; Lax pair
Improved Bell-polynomial procedure for the higher-order Korteweg-de Vries equations in fluid dynamics
Keywords: جفت لاکس; 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;
Manipulation of light in a generalized coupled Nonlinear Schrödinger equation
Keywords: جفت لاکس; Coupled nonlinear Schrödinger system; Bright soliton; Gauge transformation; Lax pair;
Lax pair, auto-Bäcklund transformation and conservation law for a generalized variable-coefficient KdV equation with external-force term
Keywords: جفت لاکس; Generalized variable-coefficient KdV equation; Lax pair; Auto-Bäcklund transformation; Conservation law; Symbolic computation
Integrable PTPT-symmetric local and nonlocal vector nonlinear Schrödinger equations: A unified two-parameter model
Keywords: جفت لاکس; Two-parameter family of nonlocal vector nonlinear Schrödinger equations; Lax pair; Conservation laws; PTPT symmetry; Solitons
A deformed reduced semi-discrete Kaup–Newell equation, the related integrable family and Darboux transformation
Keywords: جفت لاکس; Integrable differential–difference equation; Deformed reduced semi-discrete Kaup–Newell equation; Lax pair; Darboux transformation; Exact solution
On integrability of a noncommutative q-difference two-dimensional Toda lattice equation
Keywords: جفت لاکس; The q-difference two-dimensional Toda lattice equation; Bilinear Bäcklund transformation; Lax pair; Darboux transformations; Quasideterminant solutions;
Solving an integrable coupling system of Merola-Ragnisco-Tu lattice equation by Darboux transformation of Lax pair
Keywords: جفت لاکس; Merola-Ragnisco-Tu lattice equation; Integrable differential-difference equation; Integrable coupling system; Lax pair; Darboux transformation; Explicit solution;
Lax pair, conservation laws and solitons for a (2+12+1)-dimensional fourth-order nonlinear Schrödinger equation governing an αα-helical protein
Keywords: جفت لاکس; (2+1)-dimensional fourth-order nonlinear Schrödinger equation; αα-helical protein; Lax pair; Conservation laws; Solitons
Generalized Darboux transformation and Nth order rogue wave solution of a general coupled nonlinear Schrödinger equations
Keywords: جفت لاکس; Coupled nonlinear Schrödinger system; Generalized Darboux transformation; Rogue waves; Lax pair
Banach Algebras Associated to Lax Pairs
Keywords: جفت لاکس; Banach algebra; Banach homogeneous space; Jordan-Lie-Banach algebra; Lax pair; vertex operator; bosonization; state space; Burchnall-Chaundy C*-algebra; CAR algebra; GNS representation; Sato correspondence; Plücker embedding; 47B10 (47B10 53B10);
Lax pair, Bäcklund transformation and conservation laws for the (2Â +Â 1)-dimensional extended shallow water wave equation
Keywords: جفت لاکس; Binary Bell polynomials; Bilinear Bäcklund transformation; Lax pair; Infinite conservation laws;
Multi-component generalizations of the Hirota-Satsuma coupled KdV equation
Keywords: جفت لاکس; Multi-component generalizations; Hirota-Satsuma coupled KdV equation; Lax pair; Multi-soliton solution; Pfaffian;
Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation
Keywords: جفت لاکس; Symbolic computation; Higher-order NLEEs; Bell-polynomial approach; Bäcklund transformation; Lax pair; Infinite conservation laws;
Integrability for the generalised variable-coefficient fifth-order Korteweg-de Vries equation with Bell polynomials
Keywords: جفت لاکس; Bell polynomial; Bäcklund transformation; Lax pair; Korteweg-de Vries equation;
Group similarity solutions of (2 + 1) Boiti-Leon-Manna-Pempinelli Lax pair
Keywords: جفت لاکس; ANNV equation; Boiti–Leon–Manna–Pempinelli (BMLP); Lax pair; Group transformation method
PDEBellII: A Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations
Keywords: جفت لاکس; Symbolic computation; Bell polynomials; Lax pair; Bäcklund transformation; Conservation laws
A four-component Camassa–Holm type hierarchy
Keywords: جفت لاکس; 37K10; 37K05Peakon; Bi-Hamiltonian structure; Camassa–Holm type equations; Conserved quantities; Lax pair
Nonlinear tunneling of optical soliton in 3 coupled NLS equation with symbolic computation
Keywords: جفت لاکس; Optical soliton; Darboux transformation; Lax pair; Nonlinear tunneling; Birefringence fiber;
Approximated Lax pairs for the reduced order integration of nonlinear evolution equations
Keywords: جفت لاکس; Reduced order modeling; Lax pair; KdV; FKPP