Stable Optical Solitons for the Higher-Order Non-Kerr NLSE via the Modified Simple Equation Method

A variety of wave amplitudes for the conformable fractional (2 + 1)-dimensional Ito equation

(2021) Emad A. Az-Zo’bi et al.   MODERN PHYSICS LETTERS B

Abundant closed-form solitons for time-fractional integro–differential equation in fluid dynamics

(2021) Emad A. Az-Zo’bi et al.   OPTICAL AND QUANTUM ELECTRONICS

New Solutions for the Generalized BBM Equation in terms of Jacobi and Weierstrass Elliptic Functions

(2021) Alvaro H. Salas et al.   Abstract and Applied Analysis

Abundant optical soliton solutions for an integrable (2+1)-dimensional nonlinear conformable Schrödinger system

(2021) Lanre Akinyemi et al.   Results in Physics

Method for finding highly dispersive optical solitons of nonlinear differential equations

(2020) Nikolay A. Kudryashov   OPTIK

Analytical and semi-analytical ample solutions of the higher-order nonlinear Schrödinger equation with the non-Kerr nonlinear term

(2020) Mostafa M.A. Khater et al.   Results in Physics

N1-soliton solution for Schrödinger equation with competing weakly nonlocal and parabolic law nonlinearities

(2020) Mohammed O Al-Amr et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Exact and approximate solutions of time‐fractional models arising from physics via Shehu transform

(2020) Lanre Akinyemi et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

New Analytical Solutions of Fractional Symmetric Regularized-Long-Wave Equation

(2020) Mehmet Senol   REVISTA MEXICANA DE FISICA

A reliable technique to study nonlinear time-fractional coupled Korteweg–de Vries equations

(2020) Lanre Akinyemi et al.   Advances in Difference Equations

Mathematical model of propagation pulse in optical fiber with power nonlinearities

(2020) Nikolay A. Kudryashov   OPTIK

Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method

(2020) Lanre Akinyemi et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Optical solitons to Kundu–Mukherjee–Naskar model in birefringent fibers with modified simple equation approach

(2019) Yakup Yıldırım   OPTIK

New kink solutions for the van der Waals p‐system

(2019) Emad A. Az‐Zo'bi   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Study of soliton solutions of higher-order nonlinear Schrödinger dynamical model with derivative non-Kerr nonlinear terms and modulation instability analysis

(2019) Muhammad Arshad et al.   Results in Physics

Reproducing kernel Hilbert space method for the solutions of generalized Kuramoto–Sivashinsky equation

(2019) Ali Akgül et al.   Journal of Taibah University for Science

Optical solitons in birefringent fibers with Lakshmanan–Porsezian–Daniel model by modified simple equation

(2019) M.M.A. El-Sheikh et al.   OPTIK

Maxwell's equations with arbitrary self-action nonlinearity in a waveguiding theory: Guided modes and asymptotic of eigenvalues

(2019) S.V. Tikhov et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential

(2019) Mehmet Şenol et al.   Advances in Difference Equations

A collocation method in spline spaces for the solution of linear fractional dynamical systems

(2019) E. Pellegrino et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Optical solitons in fiber Bragg gratings via modified simple equation

(2019) Adel Darwish et al.   OPTIK

On the existence of infinitely many nonperturbative solutions in a transmission eigenvalue problem for nonlinear Helmholtz equation with polynomial nonlinearity

(2018) D.V. Valovik   APPLIED MATHEMATICAL MODELLING

Optical soliton solutions of unstable nonlinear Schröodinger dynamical equation and stability analysis with applications

(2018) Muhammad Arshad et al.   OPTIK

A new generalized exponential rational function method to find exact special solutions for the resonance nonlinear Schrödinger equation

(2018) Behzad Ghanbari et al.   European Physical Journal Plus

Optical solitons with Biswas-Arshed equation by extended trial function method

(2018) Mehmet Ekici et al.   OPTIK

Dispersive solitons in optical metamaterials having parabolic form of nonlinearity

(2018) Malwe Boudoue Hubert et al.   OPTIK

Exact solitary wave solution for higher order nonlinear Schrodinger equation using He’s variational iteration method

(2017) Monika Rani et al.   OPTICAL ENGINEERING

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

(2017) M. Arshad et al.   OPTIK

Many new exact solutions to the higher-order nonlinear Schrödinger equation with derivative non-Kerr nonlinear terms using three different techniques

(2017) Elsayed M.E. Zayed et al.   OPTIK

Multi-soliton solutions and Breathers for the generalized coupled nonlinear Hirota equations via the Hirota method

(2017) Ting-Ting Jia et al.   SUPERLATTICES AND MICROSTRUCTURES

A New Modification in Simple Equation Method and its applications on nonlinear equations of physical nature

(2017) Amna Irshad et al.   Results in Physics

Comparison of optimal homotopy analysis method and fractional homotopy analysis transform method for the dynamical analysis of fractional order optical solitons

(2017) Sarmad Arshad et al.   Advances in Mechanical Engineering

Modified extended tanh-function method and its applications to the Bogoyavlenskii equation

(2016) Emad H.M. Zahran et al.   APPLIED MATHEMATICAL MODELLING

Numeric-analytic solutions of mixed-type systems of balance laws

(2015) Emad A. Az-Zo'bi et al.   APPLIED MATHEMATICS AND COMPUTATION

One method for finding exact solutions of nonlinear differential equations

(2011) Nikolay A. Kudryashov   Communications in Nonlinear Science and Numerical Simulation

Dark-in-the-Bright solitary wave solution of higher-order nonlinear Schrödinger equation with non-Kerr terms

(2011) Amitava Choudhuri et al.   OPTICS COMMUNICATIONS