Optical solitons of the perturbed nonlinear Schrödinger equation in Kerr media

Two model equations with a second degree logarithmic nonlinearity and their Gaussian solutions

(2021) Cheng-Shi Liu   COMMUNICATIONS IN THEORETICAL PHYSICS

Topological stability and patterns of traveling wave for a micro-polar non-Newtonian fluid model

(2021) Xin Wang   MODERN PHYSICS LETTERS B

Chirped envelope patterns of sup-pico-second pulse propagation through an optical fiber

(2021) Hua Xin et al.   OPTIK

Chirped envelope solutions of short pulse propagation in highly nonlinear optical fiber

(2021) Zhixiang Yin   OPTIK

A study of the shallow water waves with some Boussinesq-type equations

(2021) Yue Kai et al.   Waves in Random and Complex Media

Exactly solving some typical Riemann–Liouville fractional models by a general method of separation of variables

(2020) Cheng-Shi Liu   COMMUNICATIONS IN THEORETICAL PHYSICS

Exact traveling wave solutions to the higher-order nonlinear Schrödinger equation having Kerr nonlinearity form using two strategic integrations.

(2020) Savaïssou Nestor et al.   European Physical Journal Plus

Optical wave patterns in cubic-quintic nonlinear metamaterials

(2020) Xing-Hua Du   OPTIK

Qualitative and quantitative analysis of nonlinear dynamics by the complete discrimination system for polynomial method

(2020) Yue Kai et al.   CHAOS SOLITONS & FRACTALS

Optical envelope patterns in nonlinear media modeled by the Lakshmanan–Porsezian–Daniel equation

(2020) Hua Xin   OPTIK

All single travelling wave patterns to fractional Jimbo–Miwa equation and Zakharov–Kuznetsov equation

(2019) Xin Wang et al.   PRAMANA-JOURNAL OF PHYSICS

The renormalization method from continuous to discrete dynamical systems: asymptotic solutions, reductions and invariant manifolds

(2018) Cheng-shi Liu   NONLINEAR DYNAMICS

Exactly integrable nonisospectral models for femtosecond colored solitons and their reversible transformations

(2018) V.N. Serkin et al.   OPTIK

Optical solitons, complexitons and power series solutions of a (2+1)-dimensional nonlinear Schrödinger equation

(2018) Wei-Qi Peng et al.   MODERN PHYSICS LETTERS B

Solitons in optical fiber Bragg gratings with dispersive reflectivity by extended trial function method

(2018) Anjan Biswas et al.   OPTIK

The renormalization method based on the Taylor expansion and applications for asymptotic analysis

(2017) Cheng-shi Liu   NONLINEAR DYNAMICS

Resonant optical solitons with quadratic-cubic nonlinearity by semi-inverse variational principle

(2017) Anjan Biswas et al.   OPTIK

The classification of the single travelling wave solutions to the variant Boussinesq equations

(2016) YUE KAI   PRAMANA-JOURNAL OF PHYSICS

Bright and dark solitons in optical metamaterials

(2014) Anjan Biswas et al.   OPTIK

Optical soliton perturbation with time- and space-dependent dissipation (or gain) and nonlinear dispersion in Kerr and non-Kerr media

(2012) Qin Zhou et al.   OPTIK

Optical soliton perturbation in non-Kerr law media: Traveling wave solution

(2011) Anjan Biswas et al.   OPTICS AND LASER TECHNOLOGY

The essence of the generalized Taylor theorem as the foundation of the homotopy analysis method

(2010) Cheng-shi Liu   Communications in Nonlinear Science and Numerical Simulation

Trial Equation Method Based on Symmetry and Applications to Nonlinear Equations Arising in Mathematical Physics

(2010) Cheng-Shi Liu   FOUNDATIONS OF PHYSICS

COMPARISON OF A GENERAL SERIES EXPANSION METHOD AND THE HOMOTOPY ANALYSIS METHOD

(2010) CHENG-SHI LIU et al.   MODERN PHYSICS LETTERS B

CLASSIFICATION OF ALL ENVELOPE TRAVELING WAVE SOLUTIONS TO (2+1)-DIMENSIONAL DAVEY–STEWARTSON EQUATION

(2010) YANG SHU   MODERN PHYSICS LETTERS B

Stationary solutions for nonlinear dispersive Schrödinger’s equation

(2010) Anjan Biswas et al.   NONLINEAR DYNAMICS

Canonical-like transformation method and exact solutions to a class of diffusion equations

(2009) Cheng-shi Liu   CHAOS SOLITONS & FRACTALS

The essence of the generalized Newton binomial theorem

(2009) Cheng-shi Liu   Communications in Nonlinear Science and Numerical Simulation

Bright and dark solitons of the generalized nonlinear Schrödinger’s equation

(2009) Anjan Biswas et al.   Communications in Nonlinear Science and Numerical Simulation

Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations

(2009) Cheng-shi Liu   COMPUTER PHYSICS COMMUNICATIONS

Engineering integrable nonautonomous nonlinear Schrödinger equations

(2009) Xu-Gang He et al.   PHYSICAL REVIEW E

Solution of ODE u″ + p(u)(u′)2 + q(u) = 0 and Applications to Classifications of All Single Travelling Wave Solutions to Some Nonlinear Mathematical Physics Equations

(2008) Liu Cheng-Shi   COMMUNICATIONS IN THEORETICAL PHYSICS

Analytical Light Bullet Solutions to the Generalized(3+1)-Dimensional Nonlinear Schrödinger Equation

(2008) Milivoj Belić et al.   PHYSICAL REVIEW LETTERS

Exponential function rational expansion method for nonlinear differential–difference equations

(2007) Cheng-shi Liu   CHAOS SOLITONS & FRACTALS

Soliton perturbation theory for the generalized Benjamin–Bona–Mahoney equation

(2006) Anjan Biswas et al.   Communications in Nonlinear Science and Numerical Simulation