Optical solitons with perturbed complex Ginzburg–Landau equation in kerr and cubic–quintic–septic nonlinearity

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

(2021) Cheng-Shi Liu   COMMUNICATIONS IN THEORETICAL PHYSICS

New Exact Solutions of the Fractional Complex Ginzburg–Landau Equation

(2021) Chun Huang et al.   MATHEMATICAL PROBLEMS IN ENGINEERING

The Gaussian soliton in the Fermi–Pasta–Ulam chain

(2021) Cheng-shi Liu   NONLINEAR DYNAMICS

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

(2021) Hua Xin et al.   OPTIK

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

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

Asymptotic analysis to domain walls between traveling waves modeled by real coupled Ginzburg-Landau equations

(2021) Yue Kai et al.   CHAOS SOLITONS & FRACTALS

Exact solution of perturbed nonlinear Schrödinger equation with variable coefficient and Kerr law

(2021) Rong-kun Du   OPTIK

Optical solitons of the perturbed nonlinear Schrödinger equation in Kerr media

(2021) Ming-Yue Wang   OPTIK

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

(2020) Cheng-Shi Liu   COMMUNICATIONS IN THEORETICAL PHYSICS

Cascade replication of soliton solutions in the one-dimensional complex cubic-quintic Ginzburg-Landau equation

(2020) Yao Zhao et al.   PHYSICS LETTERS A

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

Recent progress of study on optical solitons in fiber lasers

(2019) Yufeng Song et al.   Applied Physics Reviews

Phase-shift controlling of three solitons in dispersion-decreasing fibers

(2019) Suzhi Liu et al.   NONLINEAR DYNAMICS

Complex wave structures for abundant solutions related to the complex Ginzburg–Landau model

(2019) M.S. Osman et al.   OPTIK

Optical solitons with complex Ginzburg–Landau equation for two nonlinear forms using F-expansion

(2019) Amiya Das et al.   CHINESE JOURNAL OF PHYSICS

Optical solitons in fiber Bragg gratings with dispersive reflectivity for cubic–quintic–septic nonlinearity by extended trial function

(2019) Anjan Biswas et al.   OPTIK

Analytic study on interactions between periodic solitons with controllable parameters

(2018) Xiaoyan Liu et al.   NONLINEAR DYNAMICS

Optical soliton perturbation with Kerr law nonlinearity by Adomian decomposition method

(2018) Anjan Biswas et al.   OPTIK

Dark-singular combo optical solitons with fractional complex Ginzburg–Landau equation

(2018) M.A. Abdou et al.   OPTIK

New solitons solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity

(2018) Hadi Rezazadeh   OPTIK

Mitigating Internet bottleneck with fractional temporal evolution of optical solitons having quadratic–cubic nonlinearity

(2018) Hadi Rezazadeh et al.   OPTIK

On complex wave solutions governed by the 2D Ginzburg–Landau equation with variable coefficients

(2018) M.S. Osman   OPTIK

Optical solitons in presence of higher order dispersions and absence of self-phase modulation

(2018) Anjan Biswas et al.   OPTIK

Chirp-free bright optical solitons and conservation laws for complex Ginzburg-Landau equation with three nonlinear forms

(2018) Anjan Biswas   OPTIK

Optical solitons with complex Ginzburg–Landau equation by modified simple equation method

(2017) Ahmed H. Arnous et al.   OPTIK

Bright and dark Thirring optical solitons with improved adomian decomposition method

(2017) H.O. Bakodah et al.   OPTIK

Solitons in magneto-optic waveguides by extended trial function scheme

(2017) Mehmet Ekici et al.   SUPERLATTICES AND MICROSTRUCTURES

Optical solitons with complex Ginzburg–Landau equation

(2016) Mohammad Mirzazadeh et al.   NONLINEAR DYNAMICS

Chirped femtosecond pulses in the higher-order nonlinear Schrödinger equation with non-Kerr nonlinear terms and cubic–quintic–septic nonlinearities

(2016) Houria Triki et al.   OPTICS COMMUNICATIONS

Optical solitons in nano-fibers with spatio-temporal dispersion by trial solution method

(2016) 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

Dipole soliton solution for the homogeneous high-order nonlinear Schrödinger equation with cubic–quintic–septic non-Kerr terms

(2015) F. Azzouzi et al.   APPLIED MATHEMATICAL MODELLING

Bright, dark, and singular solitons in optical fibers with spatio-temporal dispersion and spatially dependent coefficients

(2015) Qin Zhou et al.   JOURNAL OF MODERN OPTICS

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

(2015) Mohammad Mirzazadeh et al.   NONLINEAR DYNAMICS

Quasi-periodic solutions for the quasi-periodically forced cubic complex Ginzburg-Landau equation on Td

(2013) Hongyu Cheng et al.   JOURNAL OF MATHEMATICAL PHYSICS

The simplest equation method to study perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity

(2011) N. Taghizadeh et al.   Communications in Nonlinear Science and Numerical Simulation

Optical soliton perturbation in a log-law medium with full nonlinearity by He's semi-inverse variational principle

(2011) Anjan Biswas et al.   INVERSE PROBLEMS IN SCIENCE AND ENGINEERING

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

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

New exact solutions to the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity via modified trigonometric function series method

(2010) Zai-yun Zhang et al.   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

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

(2010) YANG SHU   MODERN PHYSICS LETTERS B

Solitary wave solutions of higher-order NLSE with Raman and self-steepening effect in a cubic–quintic–septic medium

(2009) Amarendra K. Sarma   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

1-soliton solution of the generalized Radhakrishnan, Kundu, Lakshmanan equation

(2009) Anjan Biswas   PHYSICS LETTERS A

TEMPORAL 1-SOLITON SOLUTION OF THE COMPLEX GINZBURG-LANDAU EQUATION WITH POWER LAW NONLINEARITY

(2009) Anjan Biswas   Progress in Electromagnetics Research-PIER

Representations and Classification of Traveling Wave Solutions to sinh-Gördon Equation

(2008) Liu Cheng-Shi   COMMUNICATIONS IN THEORETICAL PHYSICS

Temporal Solitons in Nonlinear Media Modeled by Modified Complex Ginzburg Landau Equation Under Collective Variable Approach

(2008) S. Shwetanshumala   INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

Exponential function rational expansion method for nonlinear differential–difference equations

(2007) Cheng-shi Liu   CHAOS SOLITONS & FRACTALS