Application of new Kudryashov method to various nonlinear partial differential equations

New optical solitons based on the perturbed Chen-Lee-Liu model through Jacobi elliptic function method

(2022) Sibel Tarla et al.   OPTICAL AND QUANTUM ELECTRONICS

Nonlocal symmetry and interaction solutions for the new (3+1)-dimensional integrable Boussinesq equation

(2022) Hengchun Hu et al.   Mathematical Modelling of Natural Phenomena

New perturbed conformable Boussinesq-like equation: Soliton and other solutions

(2022) Kottakkaran Sooppy Nisar et al.   Results in Physics

On dynamical behavior for optical solitons sustained by the perturbed Chen-Lee-Liu model

(2022) Sibel Tarla et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Novel multiple soliton and front wave solutions for the 3D-Vakhnenko–Parkes equation

(2022) Yeşim Sağlam Özkan et al.   MODERN PHYSICS LETTERS B

The novel soliton solutions for the conformable perturbed nonlinear Schrödinger equation

(2022) Huitzilin Yépez-Martínez et al.   MODERN PHYSICS LETTERS B

The dynamic behaviors of the Radhakrishnan–Kundu–Lakshmanan equation by Jacobi elliptic function expansion technique

(2022) Sibel Tarla et al.   OPTICAL AND QUANTUM ELECTRONICS

Discrete breathers incited by the intra-dimers parameter in microtubulin protofilament array

(2022) Alphonse Houwe et al.   European Physical Journal Plus

Lie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional KP Equations

(2022) Sachin Kumar et al.   Symmetry-Basel

Modulated wave and modulation instability gain brought by the cross-phase modulation in birefringent fibers having anti-cubic nonlinearity

(2022) Souleymanou Abbagari et al.   PHYSICS LETTERS A

An approximate analytical view of physical and biological models in the setting of Caputo operator via Elzaki transform decomposition method

(2022) Saima Rashid et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Boiti–Leon–Manna–Pempinelli equation including time-dependent coefficient (vcBLMPE): a variety of nonautonomous geometrical structures of wave solutions

(2022) H. F. Ismael et al.   NONLINEAR DYNAMICS

A numerical combined algorithm in cubic B-spline method and finite difference technique for the time-fractional nonlinear diffusion wave equation with reaction and damping terms

(2022) Omar Abu Arqub et al.   Results in Physics

Numerical simulation by using the spectral collocation optimization method associated with Vieta-Lucas polynomials for a fractional model of non-Newtonian fluid

(2022) M. Adel et al.   Results in Physics

An efficient variable stepsize rational method for stiff, singular and singularly perturbed problems

(2022) Sania Qureshi et al.   Alexandria Engineering Journal

Development of the reproducing kernel Hilbert space algorithm for numerical pointwise solution of the time-fractional nonlocal reaction-diffusion equation

(2022) Omar Abu Arqub et al.   Alexandria Engineering Journal

On the conformable nonlinear Schrödinger equation with second order spatiotemporal and group velocity dispersion coefficients

(2021) Hadi Rezazadeh et al.   CHINESE JOURNAL OF PHYSICS

Solitary wave solutions for the KdV-type equations in plasma: a new approach with the Kudryashov function

(2021) Sharmistha Sain et al.   European Physical Journal Plus

A (2+1)-dimensional Kadomtsev–Petviashvili equation with competing dispersion effect: Painlevé analysis, dynamical behavior and invariant solutions

(2021) Sandeep Malik et al.   Results in Physics

Multiple wave solutions for nonlinear burgers equations using the multiple exp-function method

(2021) Khaled A. Gepreel et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS C

A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative

(2021) M.S. Hashemi   CHAOS SOLITONS & FRACTALS

Dynamical solitons for the perturbated Biswas–Milovic equation with Kudryashov's law of refractive index using the first integral method

(2021) Lanre Akinyemi et al.   JOURNAL OF MODERN OPTICS

Novel soliton solutions of four sets of generalized (2+1)-dimensional Boussinesq–Kadomtsev–Petviashvili-like equations

(2021) Lanre Akinyemi et al.   MODERN PHYSICS LETTERS B

A study of multi-soliton solutions, breather, lumps, and their interactions for kadomtsev-petviashvili equation with variable time coeffcient using hirota method

(2021) Sachin Kumar et al.   PHYSICA SCRIPTA

A study of Bogoyavlenskii’s (2+1)-dimensional breaking soliton equation: Lie symmetry, dynamical behaviors and closed-form solutions

(2021) Sachin Kumar et al.   Results in Physics

Different analytical approaches for finding novel optical solitons with generalized third-order nonlinear Schrödinger equation

(2021) Sandeep Malik et al.   Results in Physics

Investigation of soliton solutions with different wave structures to the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation

(2020) M S Osman et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Investigation of different wave structures to the generalized third-order nonlinear Scrödinger equation

(2020) K. Hosseini et al.   OPTIK

Analytical and numerical investigation for Kadomtsev–Petviashvili equation arising in plasma physics

(2020) Abdulghani R Alharbi et al.   PHYSICA SCRIPTA

Propagation of isolated waves of coupled nonlinear (2+1)-dimensional Maccari System in Plasma Physics

(2020) Nadia Cheemaa et al.   Results in Physics

Propagation of traveling wave solutions for nonlinear evolution equation through the implementation of the extended modified direct algebraic method

(2020) David Yaro et al.   Applied Mathematics-A Journal of Chinese Universities Series B

Exact optical solutions of the (2+1) dimensions Kundu–Mukherjee–Naskar model via the new extended direct algebraic method

(2020) Hatıra Günerhan et al.   MODERN PHYSICS LETTERS B

Optical soliton perturbation with polynomial and triple-power laws of refractive index by semi-inverse variational principle

(2020) Russell W. Kohl et al.   CHAOS SOLITONS & FRACTALS

A Numerical Algorithm for the Solutions of ABC Singular Lane–Emden Type Models Arising in Astrophysics Using Reproducing Kernel Discretization Method

(2020) Omar Abu Arqub et al.   Mathematics

Novel multiple soliton solutions for some nonlinear PDEs via multiple Exp-function method

(2020) Kottakkaran Sooppy Nisar et al.   Results in Physics

One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada–Kotera equation

(2019) M. S. Osman   NONLINEAR DYNAMICS

New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions

(2019) Abdul-Majid Wazwaz et al.   NONLINEAR DYNAMICS

Exact solitary wave solutions by extended rational sine-cosine and extended rational sinh-cosh techniques

(2019) Nadia Mahak et al.   PHYSICA SCRIPTA

A general bilinear form to generate different wave structures of solitons for a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

(2019) M. S. Osman et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

A study of optical wave propagation in the nonautonomous Schrödinger-Hirota equation with power-law nonlinearity

(2019) M.S. Osman et al.   Results in Physics

Inverse scattering transformation for generalized nonlinear Schrödinger equation

(2019) Xiaoen Zhang et al.   APPLIED MATHEMATICS LETTERS

Optical soliton solutions to the generalized nonautonomous nonlinear Schrödinger equations in optical fibers via the sine-Gordon expansion method

(2019) Khaled K. Ali et al.   OPTIK

Analyzing the combined multi-waves polynomial solutions in a two-layer-liquid medium

(2018) Abdul-Majid Wazwaz et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Some new exact solutions of (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain with the conformable time fractional derivative

(2018) M. S. Hashemi   OPTICAL AND QUANTUM ELECTRONICS

Investigations of dark, bright, combined dark-bright optical and other soliton solutions in the complex cubic nonlinear Schrödinger equation with δ -potential

(2018) Haci Mehmet Baskonus et al.   SUPERLATTICES AND MICROSTRUCTURES

New optical solitary wave solutions of Fokas-Lenells equation in presence of perturbation terms by a novel approach

(2018) M.S. Osman et al.   OPTIK

Multiwave solutions of time-fractional (2 + 1)-dimensional Nizhnik–Novikov–Veselov equations

(2017) M S OSMAN   PRAMANA-JOURNAL OF PHYSICS

Optical solitons with Biswas–Milovic equation by extended trial equation method

(2016) Qin Zhou et al.   NONLINEAR DYNAMICS

Multi-soliton rational solutions for quantum Zakharov-Kuznetsov equation in quantum magnetoplasmas

(2016) M. S. Osman   Waves in Random and Complex Media

The exact solutions and approximate analytic solutions of the (2 + 1)-dimensional KP equation based on symmetry method

(2016) Litao Gai et al.   SpringerPlus

Potentiometric and Thermodynamic Studies of Binary and Ternary Transition Metal(II) Complexes of Imidazole-4-acetic Acid and Some Bio-relevant Ligands

(2013) M. Aljahdali et al.   JOURNAL OF SOLUTION CHEMISTRY

Integral Methods to Solve the Variable Coefficient Nonlinear Schrödinger Equation

(2013) Rehab Mahmoud El-Shiekh et al.   ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES

Exact solution of the one-dimensional Klein–Gordon equation with scalar and vector linear potentials in the presence of a minimal length

(2010) Y Chargui et al.   Chinese Physics B

Complex Formation Equilibria Between Zinc(II), Nitrilo-tris(Methyl Phosphonic Acid) and Some Bio-relevant Ligands. The Kinetics and Mechanism for Zinc(II) Ion Promoted Hydrolysis of Glycine Methyl Ester

(2010) Mahmoud M. A. Mohamed et al.   JOURNAL OF SOLUTION CHEMISTRY