Implicit Solitary Waves for One of the Generalized Nonlinear Schrödinger Equations

An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives

(2021) Abd-Allah Hyder et al.   Communications in Nonlinear Science and Numerical Simulation

Solitary waves of the non-local Schrödinger equation with arbitrary refractive index

(2021) Nikolay A. Kudryashov   OPTIK

Optical solitons and bifurcation analysis in fiber Bragg gratings with Lie symmetry and Kudryashov’s approach

(2021) Sandeep Malik et al.   NONLINEAR DYNAMICS

The analysis of the soliton-type solutions of conformable equations by using generalized Kudryashov method

(2021) Melike Kaplan et al.   OPTICAL AND QUANTUM ELECTRONICS

Highly dispersive optical solitons and conservation laws with Kudryashov’s sextic power-law of nonlinear refractive index

(2021) Yakup Yıldırım et al.   OPTIK

Optical solitons of the resonant nonlinear Schrödinger equation with arbitrary index

(2021) Nikolay A. Kudryashov   OPTIK

Optical soliton perturbation with Kudryashov's generalized nonlinear refractive index

(2021) Ahmed M. Elsherbeny et al.   OPTIK

Symbolic computation and sensitivity analysis of nonlinear Kudryashov’s dynamical equation with applications

(2021) Nauman Raza et al.   PHYSICA SCRIPTA

Highly dispersive optical soliton perturbation with Kudryashov’s sextic-power law nonlinear refractive index by semi-inverse variation

(2021) Anjan Biswas et al.   Results in Physics

Stationary optical solitons with Kudryashov’s laws of refractive index

(2021) Mehmet Ekici et al.   CHAOS SOLITONS & FRACTALS

Solitons and conservation laws in magneto-optic waveguides with generalized Kudryashov’s equation by the unified auxiliary equation approach

(2021) Elsayed M.E. Zayed et al.   OPTIK

Optical soliton solutions for Triki–Biswas equation by Kudryashov’s R function method

(2021) O. González-Gaxiola   OPTIK

Optical solitons with Biswas–Milovic equation in magneto-optic waveguide having Kudryashov’s law of refractive index

(2021) Ahmed H. Arnous   OPTIK

Model of propagation pulses in an optical fiber with a new law of refractive indices

(2021) Nikolay A. Kudryashov   OPTIK

Optical solitons in fiber Bragg gratings with cubic–quartic dispersive reflectivity by enhanced Kudryashov's approach

(2021) Ahmed H. Arnous et al.   PHYSICS LETTERS A

Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method

(2021) Hammad Alotaibi   Symmetry-Basel

OPTICAL SOLITONS AND OTHER SOLUTIONS TO KUDRYASHOV’S EQUATION WITH THREE INNOVATIVE INTEGRATION NORMS

(2020) Elsayed M.E. Zayed et al.   OPTIK

Method for finding highly dispersive optical solitons of nonlinear differential equations

(2020) Nikolay A. Kudryashov   OPTIK

Highly dispersive optical solitons of the generalized nonlinear eighth-order Schrödinger equation

(2020) Nikolay A. Kudryashov   OPTIK

Soliton solutions of higher-order nonlinear schrödinger equation (NLSE) and nonlinear kudryashov's equation

(2020) Saima Arshed et al.   OPTIK

Optical solitons with Kudryashov's model by a range of integration norms

(2020) Yakup Yıldırım et al.   CHINESE JOURNAL OF PHYSICS

Optical soliton solutions for the generalized Kudryashov equation of propagation pulse in optical fiber with power nonlinearities by three integration algorithms

(2020) Elsayed M. E. Zayed et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Mathematical model of propagation pulse in optical fiber with power nonlinearities

(2020) Nikolay A. Kudryashov   OPTIK

Optical solitons and conservation laws of Kudryashov's equation with improved modified extended tanh–function

(2020) Ahmed H. Arnous et al.   OPTIK

Exact solutions of space-time local fractal nonlinear evolution equations: A generalized conformable derivative approach

(2020) Abd-Allah Hyder et al.   Results in Physics

Optical solitons and conservation laws with generalized Kudryashov’s law of refractive index

(2020) Elsayed M.E. Zayed et al.   CHAOS SOLITONS & FRACTALS

Optical solitons with differential group delay for Kudryashov’s model by the auxiliary equation mapping method

(2020) Elsayed M.E. Zayed et al.   CHINESE JOURNAL OF PHYSICS

Optical Solitons with Kudryashov’s Equation by Lie Symmetry Analysis

(2020) S. Kumar et al.   Physics of Wave Phenomena

Closed form soliton solutions of three nonlinear fractional models through a proposed Improved Kudryashov method

(2020) Zillur Rahman et al.   Chinese Physics B

Solitons and conservation laws in magneto–optic waveguides with generalized Kudryashov’s equation

(2020) Elsayed M.E. Zayed et al.   CHINESE JOURNAL OF PHYSICS

A generalized model for description of propagation pulses in optical fiber

(2019) Nikolay A. Kudryashov   OPTIK

Solitary wave solutions of hierarchy with non-local nonlinearity

(2019) Nikolay A. Kudryashov   APPLIED MATHEMATICS LETTERS

Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations

(2019) Nikolay A. Kudryashov   APPLIED MATHEMATICS AND COMPUTATION

Exact solutions of the equation for surface waves in a convecting fluid

(2018) Nikolay A. Kudryashov   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

Modified method of simplest equation and its application to nonlinear PDEs

(2010) Nikolay K. Vitanov et al.   APPLIED MATHEMATICS AND COMPUTATION

Modified method of simplest equation: Powerful tool for obtaining exact and approximate traveling-wave solutions of nonlinear PDEs

(2010) Nikolay K. Vitanov   Communications in Nonlinear Science and Numerical Simulation

Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity

(2009) Nikolay K. Vitanov   Communications in Nonlinear Science and Numerical Simulation

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

(2009) Anjan Biswas   PHYSICS LETTERS A