A higher-order coupled nonlinear Schrödinger system: solitons, breathers, and rogue wave solutions

Analytical study on a two-dimensional Korteweg–de Vries model with bilinear representation, Bäcklund transformation and soliton solutions

(2015) Xing Lü et al.   APPLIED MATHEMATICAL MODELLING

Modulational instability, higher-order localized wave structures, and nonlinear wave interactions for a nonautonomous Lenells-Fokas equation in inhomogeneous fibers

(2015) Lei Wang et al.   CHAOS

Optical solitons in DWDM system with spatio-temporal dispersion

(2015) M. Mirzazadeh et al.   JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS

Darboux Transformation of the Second-Type Derivative Nonlinear Schrödinger Equation

(2015) Yongshuai Zhang et al.   LETTERS IN MATHEMATICAL PHYSICS

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

(2015) Mohammad Mirzazadeh et al.   NONLINEAR DYNAMICS

Optical solitons in nonlinear directional couplers by sine–cosine function method and Bernoulli’s equation approach

(2015) Mohammad Mirzazadeh et al.   NONLINEAR DYNAMICS

Coherently coupled solitons, breathers and rogue waves for polarized optical waves in an isotropic medium

(2015) Rui Guo et al.   NONLINEAR DYNAMICS

Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects

(2014) Deng-Shan Wang et al.   APPLIED MATHEMATICS AND COMPUTATION

Bright, dark and singular optical solitons in a cascaded system

(2014) Qin Zhou et al.   LASER PHYSICS

Darboux transformation and Rogue waves of the Kundu-nonlinear Schrödinger equation

(2014) Chengchuang Zhang et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Stable localized spatial solitons in $$\mathcal {PT}$$ PT -symmetric potentials with power-law nonlinearity

(2014) Yue-Yue Wang et al.   NONLINEAR DYNAMICS

Controllable Akhmediev breather and Kuznetsov-Ma soliton trains in 𝒫𝒯 -symmetric coupled waveguides

(2014) Chaoqing Dai et al.   OPTICS EXPRESS

Peregrine solitons and algebraic soliton pairs in Kerr media considering space–time correction

(2014) Shihua Chen et al.   PHYSICS LETTERS A

Theoretical and experimental evidence of non-symmetric doubly localized rogue waves

(2014) J. He et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Dynamic behaviors of the breather solutions for the AB system in fluid mechanics

(2013) Rui Guo et al.   NONLINEAR DYNAMICS

Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi’s elliptic function method

(2012) A.H. Bhrawy et al.   Communications in Nonlinear Science and Numerical Simulation

Darboux transformation for an integrable generalization of the nonlinear Schrödinger equation

(2012) Xianguo Geng et al.   NONLINEAR DYNAMICS

Peregrine rogue waves induced by the interaction between a continuous wave and a soliton

(2012) Guangye Yang et al.   PHYSICAL REVIEW E

Nonlinear Schrödinger equation: Generalized Darboux transformation and rogue wave solutions

(2012) Boling Guo et al.   PHYSICAL REVIEW E

Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schrödinger equation with time-dependent nonlinearity

(2011) Shou-Fu Tian et al.   Communications in Nonlinear Science and Numerical Simulation

New types of exact solutions for the fourth-order dispersive cubic–quintic nonlinear Schrödinger equation

(2010) Gui-Qiong Xu   APPLIED MATHEMATICS AND COMPUTATION

Stationary solutions for nonlinear dispersive Schrödinger’s equation

(2010) Anjan Biswas et al.   NONLINEAR DYNAMICS

Darboux transformation and new periodic wave solutions of generalized derivative nonlinear Schrödinger equation

(2009) Shou-fu Tian et al.   PHYSICA SCRIPTA

Optical soliton perturbation in a non-Kerr law media

(2007) Russell Kohl et al.   OPTICS AND LASER TECHNOLOGY