New Localized and Periodic Solutions to a Korteweg–de Vries Equation with Power Law Nonlinearity: Applications to Some Plasma Models

Lie symmetry analysis for complex soliton solutions of coupled complex short pulse equation

(2021) Vikas Kumar et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

On the approximate solution of damped nonplanar modified Korteweg–de Vries equation for studying dissipative cylindrical and spherical solitons in plasmas

(2021) S.A. El-Tantawy et al.   Results in Physics

On the analytical and numerical solutions of the damped nonplanar Shamel Korteweg–de Vries Burgers equation for modeling nonlinear structures in strongly coupled dusty plasmas: Multistage homotopy perturbation method

(2021) S. A. El-Tantawy et al.   PHYSICS OF FLUIDS

Novel analytical cnoidal and solitary wave solutions of the Extended Kawahara equation

(2021) S.A. El-Tantawy et al.   CHAOS SOLITONS & FRACTALS

New $$(3+1)$$-dimensional Painlevé integrable fifth-order equation with third-order temporal dispersion

(2021) Abdul-Majid Wazwaz   NONLINEAR DYNAMICS

Effects of fractional order time derivative on the solitary wave dynamics of the generalized ZK–Burgers equation

(2021) Naeem Faraz et al.   Results in Physics

On the rogue wave solution in the framework of a Korteweg–de Vries equation

(2021) Wedad Albalawi et al.   Results in Physics

Oblique ion acoustic excitations in a magnetoplasma having $\kappa $-deformed Kaniadakis distributed electrons

(2020) Muhammad Khalid et al.   ASTROPHYSICS AND SPACE SCIENCE

Local discontinuous Galerkin method for modeling the nonplanar structures (solitons and shocks) in an electronegative plasma

(2019) S. A. El-Tantawy et al.   PHYSICS OF PLASMAS

Homotopy perturbation method for studying dissipative nonplanar solitons in an electronegative complex plasma

(2019) Bothayna S. Kashkari et al.   CHAOS SOLITONS & FRACTALS

Bäcklund–Darboux transformations and discretizations of N = 2 a = −2 supersymmetric KdV equation

(2018) Hui Mao et al.   PHYSICS LETTERS A

Anatomy of modified Korteweg–de Vries equation for studying the modulated envelope structures in non-Maxwellian dusty plasmas: Freak waves and dark soliton collisions

(2018) S. A. El-Tantawy et al.   PHYSICS OF PLASMAS

Rogue waves in electronegative space plasmas: The link between the family of the KdV equations and the nonlinear Schrödinger equation

(2016) S. A. El-Tantawy   ASTROPHYSICS AND SPACE SCIENCE

Nonlinear dynamics of soliton collisions in electronegative plasmas: The phase shifts of the planar KdV- and mkdV-soliton collisions

(2016) S.A. El-Tantawy   CHAOS SOLITONS & FRACTALS

Modified Korteweg–de Vries solitons at supercritical densities in two-electron temperature plasmas

(2016) Frank Verheest et al.   JOURNAL OF PLASMA PHYSICS

Analytical and Numerical Methods for Solving Partial Differential Equations and Integral Equations Arising in Physical Models

(2014) Santanu Saha Ray et al.   Abstract and Applied Analysis

Nonlinear structures of the Korteweg-de Vries and modified Korteweg-de Vries equations in non-Maxwellian electron-positron-ion plasma: Solitons collision and rogue waves

(2014) S. A. El-Tantawy et al.   PHYSICS OF PLASMAS

Observation of hole Peregrine soliton in a multicomponent plasma with critical density of negative ions

(2013) S. K. Sharma et al.   JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS

Ion- and electron-acoustic solitons and double layers in multi-component space plasmas

(2010) G.S. Lakhina et al.   ADVANCES IN SPACE RESEARCH

Exp-function method for solving nonlinear evolution equations with higher order nonlinearity

(2010) Yusuf Gurefe et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Freak waves in laboratory and space plasmas

(2010) M.S. Ruderman   European Physical Journal-Special Topics

Computing solutions to a forced KdV equation

(2010) Alvaro H. Salas   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

The Cole–Hopf transformation and multiple soliton solutions for the integrable sixth-order Drinfeld–Sokolov–Satsuma–Hirota equation

(2008) Abdul-Majid Wazwaz   APPLIED MATHEMATICS AND COMPUTATION

Dynamics of modulationally unstable ion-acoustic wavepackets in plasmas with negative ions

(2008) MICHAEL S. RUDERMAN et al.   JOURNAL OF PLASMA PHYSICS

Homotopy perturbation method for coupled Schrödinger–KdV equation

(2008) Semih Küçükarslan   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Experimental Study of Nonlinear Dust Acoustic Solitary Waves in a Dusty Plasma

(2008) P. Bandyopadhyay et al.   PHYSICAL REVIEW LETTERS

Experimental study of nonlinear solitary waves in two-dimensional dusty plasma

(2008) T. E. Sheridan et al.   PHYSICS OF PLASMAS

Transition of ion-acoustic perturbations in multicomponent plasma with negative ions

(2008) Sumita Kumari Sharma et al.   PHYSICS OF PLASMAS

Variational iteration method for solving coupled-KdV equations

(2007) Laila M.B. Assas   CHAOS SOLITONS & FRACTALS