Elliptic function and solitary wave solutions of the higher-order nonlinear Schrödinger dynamical equation with fourth-order dispersion and cubic-quintic nonlinearity and its stability

On the local well-posedness for the nonlinear Schrödinger equation with spatial variable coefficient

(2017) Jian Zhai et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Exact solitons to generalized resonant dispersive nonlinear Schrödinger's equation with power law nonlinearity

(2017) M. Mirzazadeh et al.   OPTIK

Applications of extended simple equation method on unstable nonlinear Schrödinger equations

(2017) Dianchen Lu et al.   OPTIK

Exact bright–dark solitary wave solutions of the higher-order cubic–quintic nonlinear Schrödinger equation and its stability

(2017) M. Arshad et al.   OPTIK

The generalized nonlinear higher order of KdV equations from the higher order nonlinear Schrödinger equation and its solutions

(2017) Aly R. Seadawy   OPTIK

Integrable nonlocal vector nonlinear Schrödinger equation with self-induced parity-time-symmetric potential

(2017) Debdeep Sinha et al.   PHYSICS LETTERS A

Stability analysis of new exact traveling-wave solutions of new coupled KdV and new coupled Zakharov-Kuznetsov systems

(2017) Aly R. Seadawy et al.   European Physical Journal Plus

Solving unsteady Korteweg-de Vries equation and its two alternatives

(2016) Kamruzzaman Khan et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Stability analysis solutions for nonlinear three-dimensional modified Korteweg–de Vries–Zakharov–Kuznetsov equation in a magnetized electron–positron plasma

(2016) Aly R. Seadawy   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Travelling wave solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations

(2016) M. Arshad et al.   Results in Physics

Dynamical behaviors and soliton solutions of a generalized higher-order nonlinear Schrödinger equation in optical fibers

(2015) Min Li et al.   NONLINEAR DYNAMICS

Envelope bright- and dark-soliton solutions for the Gerdjikov–Ivanov model

(2015) Xing Lü et al.   NONLINEAR DYNAMICS

Exact traveling wave solutions of an autonomous system via the enhanced (G′/G)-expansion method

(2015) Kamruzzaman Khan et al.   Waves in Random and Complex Media

Approximation solutions of derivative nonlinear Schrödinger equation with computational applications by variational method

(2015) Aly R. Seadawy   European Physical Journal Plus

An analytical method for finding exact solutions of modified Korteweg–de Vries equation

(2015) Md. Shafiqul Islam et al.   Results in Physics

Study of coupled nonlinear partial differential equations for finding exact analytical solutions

(2015) Kamruzzaman Khan et al.   Royal Society Open Science

Solitary wave solutions and modulation instability analysis of the nonlinear Schrodinger equation with higher order dispersion and nonlinear terms

(2013) Manirupa Saha et al.   Communications in Nonlinear Science and Numerical Simulation

Exact solutions of a two-dimensional nonlinear Schrödinger equation

(2011) Aly R. Seadawy   APPLIED MATHEMATICS LETTERS

Exact soliton solutions of a D-dimensional nonlinear Schrödinger equation with damping and diffusive terms

(2011) M. A. Helal et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

A multiple exp-function method for nonlinear differential equations and its application

(2010) Wen-Xiu Ma et al.   PHYSICA SCRIPTA

Jacobi elliptic function solutions of the generalized Zakharov–Kuznetsov equation with nonlinear dispersion and t-dependent coefficients

(2010) Emmanuel Yomba   PHYSICS LETTERS A

A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation

(2009) Wen-Xiu Ma et al.   CHAOS SOLITONS & FRACTALS