Similarity reduction and multiple novel travelling and solitary wave solutions for the two-dimensional Bogoyavlensky–Konopelchenko equation with variable coefficients

Optical Multi-wave, M-shaped rational solution, homoclinic breather, periodic cross-kink and various rational solution with interactions for Radhakrishnan-Kundu-Lakshmanan dynamical model

(2022) Tahira Batool et al.   JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS

Symmetries, Reductions and Different Types of Travelling Wave Solutions for Symmetric Coupled Burgers Equations

(2022) Rehab M. El-Shiekh et al.   International Journal of Applied and Computational Mathematics

The Weierstrass and Jacobi elliptic solutions along with multiwave, homoclinic breather, kink-periodic-cross rational and other solitary wave solutions to Fornberg Whitham equation

(2022) Azhar Bashir et al.   CHAOS SOLITONS & FRACTALS

Some advanced chirped pulses for generalized mixed nonlinear Schrödinger dynamical equation

(2022) Syed T.R. Rizvi et al.   CHAOS SOLITONS & FRACTALS

Lump solutions, Kuznetsov–Ma breathers, rogue waves and interaction solutions for magneto electro-elastic circular rod

(2022) Aly R. Seadawy et al.   CHAOS SOLITONS & FRACTALS

Several new analytical solutions for Davydov solitons in α-helix proteins

(2022) Syed T. R. Rizvi et al.   INTERNATIONAL JOURNAL OF MODERN PHYSICS B

Optical and analytical soliton solutions to higher order non-Kerr nonlinear Schrödinger dynamical model

(2022) Aly R. Seadawy et al.   JOURNAL OF GEOMETRY AND PHYSICS

Novel analytical solutions and optical soliton structures of fractional-order perturbed Kaup–Newell model and its application

(2022) Muhammad Arshad et al.   JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS

Similarity reductions and wave solutions for the 3D-Kudryashov–Sinelshchikov equation with variable-coefficients in gas bubbles for a liquid

(2022) Rehab M. El-Shiekh et al.   Results in Physics

Some exact invariant solutions and dynamical structures of multiple solitons for the (2+1)-dimensional Bogoyavlensky-Konopelchenko equation with variable coefficients using Lie symmetry analysis

(2021) Sachin Kumar et al.   CHINESE JOURNAL OF PHYSICS

Novel solitary and shock wave solutions for the generalized variable-coefficients (2+1)-dimensional KP-Burger equation arising in dusty plasma

(2021) Rehab M. El-Shiekh   CHINESE JOURNAL OF PHYSICS

Lie symmetry analysis and invariant solutions for (2+1) dimensional Bogoyavlensky-Konopelchenko equation with variable-coefficient in wave propagation

(2021) Mohamed R. Ali et al.   Journal of Ocean Engineering and Science

New analytical solitary and periodic wave solutions for generalized variable-coefficients modified KdV equation with external-force term presenting atmospheric blocking in oceans

(2021) Rehab M. El-Shiekh et al.   Journal of Ocean Engineering and Science

Lie Symmetry Analysis and Wave Propagation in Variable-Coefficient Nonlinear Physical Phenomena

(2021) Mohamed R. Ali   East Asian Journal on Applied Mathematics

The weakly nonlinear wave propagation of the generalized third-order nonlinear Schrödinger equation and its applications

(2020) Aly R. Seadawy et al.   Waves in Random and Complex Media

The weakly nonlinear wave propagation theory for the Kelvin-Helmholtz instability in magnetohydrodynamics flows

(2020) Aly R. Seadawy et al.   CHAOS SOLITONS & FRACTALS

Bright and dark optical solitons for the generalized variable coefficients nonlinear Schrödinger equation

(2020) Rehab M. El-Shiekh et al.   INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

Construction of analytical wave solutions to the conformable fractional dynamical system of ion sound and Langmuir waves

(2020) U. Younas et al.   Waves in Random and Complex Media

Optical solitons for Lakshmanan–Porsezian–Daniel model by Riccati equation approach

(2019) A.A. AlQarni et al.   OPTIK

Classes of new exact solutions for nonlinear Schrödinger equations with variable coefficients arising in optical fiber

(2019) Rehab M. El-Shiekh   Results in Physics

Jacobi elliptic wave solutions for two variable coefficients cylindrical Korteweg–de Vries models arising in dusty plasmas by using direct reduction method

(2018) Rehab M. El-Shiekh   COMPUTERS & MATHEMATICS WITH APPLICATIONS

The dynamical behavior of mixed-type soliton solutions described by (2+1)-dimensional Bogoyavlensky–Konopelchenko equation with variable coefficients

(2018) M. S. Osman et al.   JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS

Direct Similarity Reduction and New Exact Solutions for the Variable-Coefficient Kadomtsev–Petviashvili Equation

(2015) Rehab M. El-Shiekh   ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES

Exact Solutions for Some Fractional Differential Equations

(2015) Abdullah Sonmezoglu   Advances in Mathematical Physics

New exact solutions for the variable coefficient modified KdV equation using direct reduction method

(2012) Rehab M. El-Shiekh   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Direct Reduction and Exact Solutions for Generalized Variable Coefficients 2D KdV Equation under Some Integrability Conditions

(2011) M.H.M Moussa et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

Auto-Bäcklund transformation and similarity reductions to the variable coefficients variant Boussinesq system

(2007) M.H.M. Moussa et al.   PHYSICS LETTERS A