Keywords: روش بیرونی Hirota; (3+1)-dimensional Shallow Water wave equation; Hirota bilinear method; Rogue waves; Interaction;
مقالات ISI روش بیرونی Hirota (ترجمه نشده)
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Keywords: روش بیرونی Hirota; Linear superposition principle; Hirota bilinear method; Resonant multiple wave; Symbolic computation;
Keywords: روش بیرونی Hirota; Complex short pulse equation; Coupled complex short pulse equation; Hirota bilinear method; Pfaffian; Envelope soliton; Soliton interaction;
Keywords: روش بیرونی Hirota; Kadomtsev–Petviashvili equation; Hirota bilinear method; Ansatz approach; Breather-wave; Fission; Fusion
Keywords: روش بیرونی Hirota; (3+1)(3+1)-dimensional nonlinear evolution equation; Rogue waves; Hirota bilinear method
Keywords: روش بیرونی Hirota; Nonlinear Schrödinger equations; Superposition solitons; Interaction; Hirota bilinear method
Lump solutions to the Kadomtsev-Petviashvili I equation with a self-consistent source
Keywords: روش بیرونی Hirota; KPI equation with a self-consistent source; Hirota bilinear method; Lump solution;
Mixed lump-soliton solutions of the (3+1)-dimensional soliton equation
Keywords: روش بیرونی Hirota; The (3+1)-dimensional integrable equation; Mixed lump-soliton solutions; Hirota bilinear method;
Resonant multiple wave solutions to a new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation: Linear superposition principle
Keywords: روش بیرونی Hirota; New (3+1)-dimensional generalized Kadomtsev-Petviashvili equation; Resonant multiple wave solution; Hirota bilinear method; Linear superposition principle;
Interaction solutions for a dimensionally reduced Hirota bilinear equation
Keywords: روش بیرونی Hirota; Interaction solutions; Lump solution; Rogue wave; Hirota bilinear method;
N-solitons, breathers, lumps and rogue wave solutions to a (3+1)-dimensional nonlinear evolution equation
Keywords: روش بیرونی Hirota; Hirota bilinear method; Kink soliton solution; Breather; Rogue wave;
Rogue wave and a pair of resonance stripe solitons to KP equation
Keywords: روش بیرونی Hirota; Hirota bilinear method; KP equation; Rogue wave; Stripe soliton;
Black and gray soliton interactions and cascade compression in the variable coefficient nonlinear Schrödinger equation
Keywords: روش بیرونی Hirota; Dark soliton; Hirota bilinear method; Direct numerical simulation; Soliton collision; Nonlinear tunneling; Cascade compression;
Localized waves and interaction solutions to a (3+1)-dimensional generalized KP equation
Keywords: روش بیرونی Hirota; (3+1)-dimensional generalized KP equation; Hirota bilinear method; Lump; Breather; Rogue wave; Interaction solution;
Novel solitary wave solutions for the (3+1)-dimensional extended Jimbo-Miwa equations
Keywords: روش بیرونی Hirota; (3+1)-dimensional Jimbo-Miwa equations; Hirota bilinear method; Solitary wave solutions; Exponential function; Trigonometric functions and hyperbolic functions;
Periodic and localized wave patterns for coupled Ablowitz-Ladik systems with negative cross phase modulation
Keywords: روش بیرونی Hirota; Ablowitz-Ladik equations; Hirota bilinear method; Discrete breathers; Rogue waves;
The oscillating collisions between the three solitons for a dual-mode fiber coupler system
Keywords: روش بیرونی Hirota; Coupled nonlinear Schrödinger equation; Dual-mode optical fiber coupler system; Hirota bilinear method; Three-soliton; Oscillating collision;
Ultrashort dark solitons interactions and nonlinear tunneling in the modified nonlinear Schrödinger equation with variable coefficient
Keywords: روش بیرونی Hirota; Ultrashort dark solitons; Hirota bilinear method; Self-steepening effect; Solitons collision; Nonlinear tunneling;
Research paperBright and dark soliton solutions to the AB system and its multi-component generalization
Keywords: روش بیرونی Hirota; AB System; Multi-component generalization; Bright-soliton; Dark-soliton; Hirota bilinear method;
The application of generalized coupled higher-order nonlinear Schrödinger equations with variable coefficients in optical fibers
Keywords: روش بیرونی Hirota; The generalized coupled higher-order nonlinear Schrödinger equations with variable coefficients; Hirota bilinear method; Vector soliton solutions; Group-velocity dispersion effect; Nonlinear effect;
Bell polynomials approach for two higher-order KdV-type equations in fluids
Keywords: روش بیرونی Hirota; Bell polynomials; Hirota bilinear method; Sawada-Kotera-type equation; Lax-type equation;
The rogue waves of the KP equation with self-consistent sources
Keywords: روش بیرونی Hirota; Soliton; KP equation; Self-consistent sources; Hirota bilinear method; Rogue waves
Energy-exchange collisions of vector solitons in the N-coupled mixed derivative nonlinear Schrödinger equations from the birefringent optical fibers
Keywords: روش بیرونی Hirota; Coupled mixed derivative nonlinear Schrödinger equations; Vector soliton; Soliton interactions; Hirota bilinear method;
Multiple soliton solutions and fusion interaction phenomena for the (2+1)-dimensional modified dispersive water-wave system
Keywords: روش بیرونی Hirota; The (2+1)-dimensional modified dispersive water-wave system; Hirota bilinear method; Multiple soliton solutions; Fusion interaction; Symbolic computation
Dark-soliton dynamics in a two-species Bose–Einstein condensate with the external potential and thermal cloud effects
Keywords: روش بیرونی Hirota; Two-species Bose–Einstein condensate; Coupled Gross–Pitaevskii equations; Dark solitons; Hirota bilinear method; Symbolic computation
Quasi-periodic wave solution and asymptotic behavior for the (2Â +Â 1)-dimensional Toda lattice equation
Keywords: روش بیرونی Hirota; (2Â +Â 1)-Dimensional Toda lattice equation; Hirota bilinear method; Periodic wave solution; Soliton solution;
Fission and Fusion Interaction Phenomena of the (2+1)-Dimensional Dispersive Long Wave Equations
Keywords: روش بیرونی Hirota; 2+1)-dimensional dispersive long wave equations; multiple soliton solutions; fission and fusion interaction; Hirota bilinear method; symbolic computation;
Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC
Keywords: روش بیرونی Hirota; Nonlinear Schrodinger equation; Bose-Einstein condensate (BEC); Soliton; Hirota bilinear method;
Transformations and multi-solitonic solutions for a generalized variable-coefficient Kadomtsev–Petviashvili equation
Keywords: روش بیرونی Hirota; Generalized variable-coefficient Kadomtsev–Petviashvili equation; Dependent variable transformation; Hirota bilinear method; Multi-solitonic solution
NN-soliton solutions and localized structures for the (2+1)(2+1)-dimensional Broer–Kaup–Kupershmidt system
Keywords: روش بیرونی Hirota; The (2+1)(2+1)-dimensional Broer–Kaup–Kupershmidt system; Hirota bilinear method; NN-soliton solutions; Localized structures; Symbolic computation
Quasi-periodic waves of the N=1N=1 supersymmetric modified Korteweg–de Vries equation
Keywords: روش بیرونی Hirota; 37K10; 35Q58; 35Q51Supersymmetric equation; Hirota bilinear method; Riemann theta function; Quasi-periodic wave solutions
Multiple-soliton solutions of the perturbed KdV equation
Keywords: روش بیرونی Hirota; Hirota bilinear method; Perturbed KdV equation; Multiple-soliton solutions
N-soliton solutions for the integrable bidirectional sixth-order Sawada–Kotera equation
Keywords: روش بیرونی Hirota; Sawada–Kotera equation; Cole–Hopf transformation; Hirota bilinear method; Multiple soliton solutions; Singular soliton solutions; Resonance
Multiple soliton solutions for the (2+12+1)-dimensional asymmetric Nizhnik–Novikov–Veselov equation
Keywords: روش بیرونی Hirota; Hirota bilinear method; Nizhnik–Novikov–Veselov; Multiple soliton solutions; Multiple singular soliton solutions; Resonance
A study on an integrable system of coupled KdV equations
Keywords: روش بیرونی Hirota; KdV system; Hirota bilinear method; Multiple-soliton solutions; Multiple singular soliton solutions; Resonance
Multiple soliton solutions for the sixth-order Ramani equation and a coupled Ramani equation
Keywords: روش بیرونی Hirota; Ramani equation; Hirota bilinear method; Multiple soliton solutions; Multiple singular soliton solutions
Bilinear approach to the quasi-periodic wave solutions of Modified Nizhnik–Novikov–Vesselov equation in (2+1)(2+1) dimensions
Keywords: روش بیرونی Hirota; MNNV equation; Hirota bilinear method; Riemann theta function; Quasi-periodic wave solutions
Extend three-wave method for the (1+2)-dimensional Ito equation
Keywords: روش بیرونی Hirota; Ito equation; Extended three-wave method; Hirota bilinear method; Three-wave solution; Doubly periodic solitary wave
Non-integrable variants of Boussinesq equation with two solitons
Keywords: روش بیرونی Hirota; Hirota bilinear method; Hereman’s method; Boussinesq equation; Two-soliton solutions
Two-periodic waves and asymptotic property for generalized 2D Toda lattice equation
Keywords: روش بیرونی Hirota; Toda lattice equation; Hirota bilinear method; Riemann theta function; Two-periodic wave solutions
Multiple soliton solutions for a (2 + 1)-dimensional integrable KdV6 equation
Keywords: روش بیرونی Hirota; 02.30.Lk; 02.30Jr; 05.45.YvKdV6 equations; Cole-Hopf transformation; Hirota bilinear method; Multiple soliton solutions; Singular soliton solutions; Resonance
Asymptotic behavior of the periodic wave solution for the (3+1)-dimensional Kadomtsev–Petviashvili equation
Keywords: روش بیرونی Hirota; (3+1)-Dimensional Kadomtsev–Petviashvili equation; Hirota bilinear method; Asymptotic behavior; Periodic wave solution; Soliton solution
Completely integrable coupled KdV and coupled KP systems
Keywords: روش بیرونی Hirota; KdV equation; KP equation; Hirota bilinear method; Multiple soliton solutions; Multiple singular soliton solutions; Resonance
Burgers hierarchy: Multiple kink solutions and multiple singular kink solutions
Keywords: روش بیرونی Hirota; Burgers hierarchy; Hirota bilinear method; Multiple kink solutions; Multiple singular kink solutions;
New exact solitary wave and multiple soliton solutions of quantum Zakharov–Kuznetsov equation
Keywords: روش بیرونی Hirota; Quantum Zakharov–Kuznetsov equation; Auxiliary equation method; Hirota bilinear method; Solitary wave solutions; Multiple-soliton solutions
Maple packages for computing Hirota’s bilinear equation and multisoliton solutions of nonlinear evolution equations
Keywords: روش بیرونی Hirota; Nonlinear evolution equation; Soliton solution; Hirota bilinear method; Symbolic computation
Four (2 + 1)-dimensional integrable extensions of the Kadomtsev–Petviashvili equation
Keywords: روش بیرونی Hirota; Nonlinear (2 + 1)-dimensional KP extensions; Hirota bilinear method; Multiple-soliton solutions; Multiple singular soliton solutions; Resonance
Multiple soliton solutions and multiple singular soliton solutions for (2+1)(2+1)-dimensional shallow water wave equations
Keywords: روش بیرونی Hirota; Hirota bilinear method; Multiple soliton solutions; Multiple singular soliton solutions
A (3 + 1)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions
Keywords: روش بیرونی Hirota; Nonlinear (3 + 1)-dimensional equation; Hirota bilinear method; Multiple soliton solutions; Multiple singular soliton solutions; Resonance
Multiple-soliton solutions and multiple-singular soliton solutions for two higher-dimensional shallow water wave equations
Keywords: روش بیرونی Hirota; Hirota bilinear method; Complete integrability; Multiple-soliton solutions; Multiple-singular soliton solutions