Results 191 to 200 of about 22,064 (260)

Study on extensions of (modified) Korteweg–de Vries equations: Painlevé integrability and multiple soliton solutions in fluid mediums

The Physics of Fluids, 2023
This work develops two higher-dimensional extensions for both Korteweg–de Vries (KdV) and modified KdV (mKdV) equations. We investigate the Painlevé integrability of each couple of the aforementioned two models.
A. Wazwaz, Weaam Alhejaili, S. El-Tantawy   +2 more
semanticscholar   +1 more source

Singular solitons interaction of dust ion acoustic waves in the framework of Korteweg de Vries and Modified Korteweg‐de Vries equations with (r,q) distributed electrons

Contributions to Plasma Physics, 2022
Two nonlinear evolution equations (NLEEs), namely, Korteweg‐de Vries (KdV) and modified Korteweg‐de Vries (MKdV) are derived from the dust hydrodynamic model of collisionless, unmagnetized dusty plasma with electrons following double spectral velocity ...
U. N. Ghosh
semanticscholar   +1 more source

Integral complex modified Korteweg-de Vries (Icm-KdV) equations

Chaos, Solitons & Fractals, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Velasco-Juan, M., Fujioka, J.
openaire   +2 more sources

Multi-type solitary wave solutions of Korteweg–de Vries (KdV) equation

International Journal of Modern Physics B, 2023
In this paper, we explore how to generate solitary, peakon, periodic, cuspon and kink wave solution of the well-known partial differential equation Korteweg–de Vries (KdV) by using exp-function and modified exp-function methods. The presented methods construct more efficiently almost all types of soliton solution of KdV equation that can be rarely ...
Asif Waheed, Mustafa Inc, Nimra Bibi, Shumaila Javeed, Muhammad Zeb, Zain Ul Abadin Zafar   +5 more
openaire   +1 more source

An Efficient Computational Technique for Fractional Model of Generalized Hirota–Satsuma-Coupled Korteweg–de Vries and Coupled Modified Korteweg–de Vries Equations

Journal of Computational and Nonlinear Dynamics, 2020
The aim of the present investigation to find the solution for fractional generalized Hirota–Satsuma coupled Korteweg–de-Vries (KdV) and coupled modified KdV (mKdV) equations with the aid of an efficient computational scheme, namely, fractional natural ...
P. Veeresha, D. G. Prakasha, Devendra Kumar, D. Baleanu, Jagdev Singh   +4 more
semanticscholar   +1 more source

Numerical solution of the Korteweg-de Vries (KdV) equation

Chaos, Solitons & Fractals, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jain, P. C., Shankar, Rama, Bhardwaj, Dheeraj   +2 more
openaire   +2 more sources

Solutions of time-fractional third- and fifth-order Korteweg–de-Vries equations using homotopy perturbation transform method

Engineering computations, 2019
Purpose This study aims to find the solution of time-fractional Korteweg–de-Vries (tfKdV) equations which may be used for modeling various wave phenomena using homotopy perturbation transform method (HPTM).
P. Karunakar, S. Chakraverty
semanticscholar   +1 more source

Head-on collision of ion-acoustic (modified) Korteweg–de Vries solitons in Saturn's magnetosphere plasmas with two temperature superthermal electrons

The Physics of Fluids, 2023
In view of the recent observations by plasma science-spacecraft-voyager and Cassini plasma spectrometer of Saturn's magnetosphere, the interaction between two counter-propagating ion-acoustic (IA) solitons is studied in an unmagnetized plasma consisting ...
T. Hashmi, R. Jahangir, W. Masood, B. M. Alotaibi, S. M. Ismaeel, S. El-Tantawy   +5 more
semanticscholar   +1 more source

A new analytic approach and its application to new generalized Korteweg‐de Vries and modified Korteweg‐de Vries equations

Mathematical methods in the applied sciences
The current study is important from two perspectives. Firstly, in this article, we suggest a novel analytical technique for creating the exact solutions to nonlinear partial differential equations (NLPDEs).
Sachin Kumar, S. Malik
semanticscholar   +1 more source