DOI10.1088/0951-7715/28/9/3243zbMath1326.37046arXiv1309.1037OpenAlexW2963960857MaRDI QIDQ3196559
Liming Ling, Li-Chen Zhao, Bo-ling Guo
Publication date: 29 October 2015
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.1037
Solitonic coalescence and rogue waves for the coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fiber ⋮
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A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves ⋮
Darboux transformation and solitonic solution to the coupled complex short pulse equation ⋮
Multi-dark soliton solutions for the higher-order nonlinear Schrödinger equation in optical fibers ⋮
Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations ⋮
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Solitons, breathers and rogue waves in the coupled nonlocal reverse-time nonlinear Schrödinger equations ⋮
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Dark soliton solutions of the defocusing Hirota equation by the binary Darboux transformation ⋮
Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation ⋮
Binary Darboux transformation and new soliton solutions of the focusing nonlocal nonlinear Schrödinger equation ⋮
General soliton solutions to a coupled Fokas-Lenells equation ⋮
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Dynamic behaviors of multiple-solitons in a magnetized dusty plasma ⋮
Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation ⋮
Lax pair, binary Darboux transformations and dark-soliton interaction of a fifth-order defocusing nonlinear Schrödinger equation for the attosecond pulses in the optical fiber communication ⋮
The binary Darboux transformation revisited and KdV solitons on arbitrary short‐range backgrounds ⋮
Riemann–Hilbert problem and interactions of solitons in the ‐component nonlinear Schrödinger equations ⋮
Lump solution and interaction solutions to the fourth-order extended (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation ⋮
A continuous analog of the binary Darboux transformation for the Korteweg–de Vries equation ⋮
Binary Darboux transformation and multi-dark solitons for a higher-order nonlinear Schrödinger equation in the inhomogeneous optical fiber ⋮
Multi-soliton solutions for the three types of nonlocal Hirota equations via Riemann–Hilbert approach ⋮
Darboux transformation and general soliton solutions for the reverse space-time nonlocal short pulse equation ⋮
Antidark solitons and soliton molecules in a \((3 + 1)\)-dimensional nonlinear evolution equation ⋮
Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations ⋮
Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics ⋮
Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system ⋮
Darboux transformation of the coupled nonisospectral Gross-Pitaevskii system and its multi-component generalization ⋮
Dark solitons on a stripe phase background in a two-component Bose-Einstein condensate ⋮
\(N\)th-order rogue waves for the \(AB\) system via the determinants ⋮
Bäcklund transformation and localized nonlinear wave solutions of the nonlocal defocusing coupled nonlinear Schrödinger equation ⋮
Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation ⋮
Multi-dark soliton solutions for a coupled AB system in the geophysical flows ⋮
Multi-dark-dark solitons of the integrable repulsive AB system via the determinants ⋮
The n -component nonlinear Schrödinger equations: dark–bright mixed N - and high-order solitons and breathers, and dynamics ⋮
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures ⋮
Data-driven vector soliton solutions of coupled nonlinear Schrödinger equation using a deep learning algorithm ⋮
Darboux-Bäcklund transformation and localized excitation on the periodic wave background for the nonlinear Schrödinger equation ⋮
Darboux-Bäcklund transformations, dressing \& impurities in multi-component NLS ⋮
Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation ⋮
General \(N\)-dark vector soliton solution for multi-component defocusing Hirota system in optical fiber media ⋮
Darboux transformations and exact solutions for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation ⋮
A coupled focusing-defocusing complex short pulse equation: Multisoliton, breather, and rogue wave ⋮
The algebraic representation for high order solution of Sasa-Satsuma equation ⋮
General high-order rogue waves to nonlinear Schrödinger-Boussinesq equation with the dynamical analysis ⋮
Dynamic behaviors of mixed localized solutions for the three-component coupled Fokas-Lenells system ⋮
Higher-Order Rogue Wave Pairs in the Coupled Cubic-Quintic Nonlinear Schrödinger Equations ⋮
\(N\)-fold binary Darboux transformation for the \(n\)th-order Ablowitz-Kaup-Newell-Segur system under a pseudo-symmetry hypothesis ⋮
Dark-dark solitons, soliton molecules and elastic collisions in the mixed three-level coupled Maxwell-Bloch equations ⋮
Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrödinger equation
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