Vector breathers, rogue and breather-rogue waves for a coupled mixed derivative nonlinear Schrödinger system in an optical fiber

Lax pair, Darboux transformation, breathers and rogue waves of an $$\pmb {N}$$-coupled nonautonomous nonlinear Schrödinger system for an optical fiber or a plasma

(2022) Dan-Yu Yang et al.   NONLINEAR DYNAMICS

Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (21)-dimensional generalized Burgers system with the variable coefficients in a fluid

(2022) Tian-Yu Zhou et al.   NONLINEAR DYNAMICS

Dynamics analysis of higher-order soliton solutions for the coupled mixed derivative nonlinear Schrödinger equation

(2022) Ni Song et al.   ACTA MECHANICA SINICA

Darboux transformation, localized waves and conservation laws for an M-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber

(2022) Dan-Yu Yang et al.   CHAOS SOLITONS & FRACTALS

Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves

(2022) Fei-Yan Liu et al.   NONLINEAR DYNAMICS

Studies on certain bilinear form, N-soliton, higher-order breather, periodic-wave and hybrid solutions to a (3+1)-dimensional shallow water wave equation with time-dependent coefficients

(2022) Yuan Shen et al.   NONLINEAR DYNAMICS

Auto-Bäcklund Transformation, Similarity Reductions and Solitons of an Extended ($$2+1$$)-Dimensional Coupled Burgers System in Fluid Mechanics

(2022) Xin-Yi Gao et al.   Qualitative Theory of Dynamical Systems

Considering the Shallow Water of a Wide Channel or an Open Sea Through a Generalized (2+1)-dimensional Dispersive Long-wave System

(2022) Xiao-Tian Gao et al.   Qualitative Theory of Dynamical Systems

Lie group analysis for a higher-order Boussinesq-Burgers system

(2022) Fei-Yan Liu et al.   APPLIED MATHEMATICS LETTERS

Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system

(2022) Xin-Yi Gao et al.   APPLIED MATHEMATICS LETTERS

Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended (3+1)-dimensional nonlinear Schrödinger equation in an optical fiber

(2022) Tian-Yu Zhou et al.   APPLIED MATHEMATICS LETTERS

Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation

(2022) Xi-Hu Wu et al.   CHAOS SOLITONS & FRACTALS

N-fold Darboux transformation and solitonic interactions for the Kraenkel–Manna–Merle system in a saturated ferromagnetic material

(2022) Yuan Shen et al.   NONLINEAR DYNAMICS

N-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium

(2022) Xi-Hu Wu et al.   CHAOS SOLITONS & FRACTALS

Pfaffian, breather, and hybrid solutions for a (2 + 1)-dimensional generalized nonlinear system in fluid mechanics and plasma physics

(2022) Chong-Dong Cheng et al.   PHYSICS OF FLUIDS

Derivation and simulation of the M-lump solutions to two (2+1)-dimensional nonlinear equations

(2021) Si-Jia Chen et al.   PHYSICA SCRIPTA

Breathers and double-pole solutions of coupled mixed derivative nonlinear Schrödinger equations from optical fibers

(2021) Chen Hang et al.   MODERN PHYSICS LETTERS B

Bilinear form, soliton, breather, hybrid and periodic-wave solutions for a (3+1)-dimensional Korteweg–de Vries equation in a fluid

(2021) Chong-Dong Cheng et al.   NONLINEAR DYNAMICS

The dynamic characteristics of pure-quartic solitons and soliton molecules

(2021) Xiaoyan Liu et al.   APPLIED MATHEMATICAL MODELLING

Some localized wave solutions for the coupled Gerdjikov–Ivanov equation

(2021) Min-Jie Dong et al.   APPLIED MATHEMATICS LETTERS

Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain

(2021) Meng Wang et al.   CHAOS SOLITONS & FRACTALS

Soliton fusion and fission for the high-order coupled nonlinear Schrödinger system in fiber lasers

(2021) Tian-Yi Wang et al.   Chinese Physics B

Soliton Rectangular Pulses and Bound States in a Dissipative System Modeled by the Variable-Coefficients Complex Cubic-Quintic Ginzburg–Landau Equation

(2021) Yuan-Yuan Yan et al.   CHINESE PHYSICS LETTERS

New general interaction solutions to the KPI equation via an optional decoupling condition approach

(2021) Xing Lü et al.   Communications in Nonlinear Science and Numerical Simulation

Conservation laws and breather-to-soliton transition for a variable-coefficient modified Hirota equation in an inhomogeneous optical fiber

(2021) Dan-Yu Yang et al.   Waves in Random and Complex Media

Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system

(2021) Xiao-Tian Gao et al.   APPLIED MATHEMATICS LETTERS

Novel Rogue Waves for a Mixed Coupled Nonlinear Schrödinger Equation on Darboux-Dressing Transformation

(2021) Min-Jie Dong   East Asian Journal on Applied Mathematics

Soliton, breather and rogue wave solutions of the coupled Gerdjikov–Ivanov equation via Darboux transformation

(2020) Ting Ji et al.   NONLINEAR DYNAMICS

Lax pair, Darboux-dressing transformation and localized waves of the coupled mixed derivative nonlinear Schrödinger equation in a birefringent optical fiber

(2020) Xue-Wei Yan   APPLIED MATHEMATICS LETTERS

N-order rogue waves and their novel colliding dynamics for a transient stimulated Raman scattering system arising from nonlinear optics

(2020) Bang-Qing Li et al.   NONLINEAR DYNAMICS

Extended generalized Darboux transformation to hybrid rogue wave and breather solutions for a nonlinear Schrödinger equation

(2020) Bang-Qing Li et al.   APPLIED MATHEMATICS AND COMPUTATION

Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws

(2020) Xing Lü et al.   Communications in Nonlinear Science and Numerical Simulation

Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients

(2020) Si-Jia Chen et al.   Communications in Nonlinear Science and Numerical Simulation

Chaotic breathers and breather fission/fusion for a vector nonlinear Schrödinger equation in a birefringent optical fiber or wavelength division multiplexed system

(2019) Hui-Min Yin et al.   APPLIED MATHEMATICS AND COMPUTATION

Rogue wave solutions for a coupled nonlinear Schrödinger equation in the birefringent optical fiber

(2019) Zhong-Zhou Lan   APPLIED MATHEMATICS LETTERS

Novel rogue waves and dynamics in the integrable pair-transition-coupled nonlinear Schrödinger equation

(2019) Xiubin Wang et al.   APPLIED MATHEMATICS LETTERS

Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation

(2019) Shou-Fu Tian   APPLIED MATHEMATICS LETTERS

The N ‐coupled higher‐order nonlinear Schrödinger equation: Riemann‐Hilbert problem and multi‐soliton solutions

(2019) Jin‐Jie Yang et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Dark–bright semi-rational solitons and breathers for a higher-order coupled nonlinear Schrödinger system in an optical fiber

(2019) Zhong Du et al.   APPLIED MATHEMATICS LETTERS

Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation

(2018) Xue-Wei Yan et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A Fokas approach to the coupled modified nonlinear Schrödinger equation on the half-line

(2018) Beibei Hu et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

One-soliton shaping and two-soliton interaction in the fifth-order variable-coefficient nonlinear Schrödinger equation

(2018) Chunyu Yang et al.   NONLINEAR DYNAMICS

Initial–boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method

(2017) Shou-Fu Tian   JOURNAL OF DIFFERENTIAL EQUATIONS

Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems

(2017) Shihua Chen et al.   Journal of Physics A-Mathematical and Theoretical

Soliton excitations and shape-changing collisions in alpha helical proteins with interspine coupling at higher order

(2016) Xing Lü et al.   Communications in Nonlinear Science and Numerical Simulation

Soliton solutions to resonant nonlinear Schrödinger’s equation with time-dependent coefficients by trial solution approach

(2015) Mohammad Mirzazadeh et al.   NONLINEAR DYNAMICS

Dark three-sister rogue waves in normally dispersive optical fibers with random birefringence

(2014) Shihua Chen et al.   OPTICS EXPRESS

Akhmediev breathers, Ma solitons, and general breathers from rogue waves: A case study in the Manakov system

(2013) N. Vishnu Priya et al.   PHYSICAL REVIEW E

Bound-state dark/antidark solitons for the coupled mixed derivative nonlinear Schrödinger equations in optical fibers

(2012) Min Li et al.   EUROPEAN PHYSICAL JOURNAL D

Darboux Transformation and N-Soliton Solution for the Coupled Modified Nonlinear Schrödinger Equations

(2012) Hai-Qiang Zhang   ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES

The N-soliton solution of a two-component modified nonlinear Schrödinger equation

(2011) Yoshimasa Matsuno   PHYSICS LETTERS A

Dark and anti-dark vector solitons of the coupled modified nonlinear Schrödinger equations from the birefringent optical fibers

(2010) Min Li et al.   EUROPEAN PHYSICAL JOURNAL D

Soliton interaction in the coupled mixed derivative nonlinear Schrödinger equations

(2009) Hai-Qiang Zhang et al.   PHYSICS LETTERS A

Collisions of optical ultra-short vector pulses

(2008) Andrzej Janutka   Journal of Physics A-Mathematical and Theoretical