Results 91 to 100 of about 454 (184)

Application of the Exp-Function and Generalized Kudryashov Methods for Obtaining New Exact Solutions of Certain Nonlinear Conformable Time Partial Integro-Differential Equations

, 2021
The key objective of this paper is to construct exact traveling wave solutions of the conformable time second integro-differential Kadomtsev–Petviashvili (KP) hierarchy equation using the Exp-function method and the (2 + 1)-dimensional conformable time ...
Surattana Sungnul, Sekson Sirisubtawee, Supaporn Kaewta   +2 more
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Analytical solutions of (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics using the New Kudryashov method

, 2022
This study investigates various analytic soliton solutions of the generalized (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation in fluid dynamics and plasma physics using a recently introduced technique which is the New Kudryashov method ...
Bayram, Mustafa, Aydin Secer, Mustafa Bayram, ÇINAR, Melih, SEÇER, Aydın, Melih Cinar   +5 more
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New Exact Solutions of the New Hamiltonian Amplitude-Equation and Fokas Lenells Equation

Entropy, 2015
In this paper, exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation are successfully obtained. The extended trial equation method (ETEM) and generalized Kudryashov method (GKM) are applied to find several exact solutions ...
Seyma Tuluce Demiray, Hasan Bulut
doaj   +1 more source

Conservation laws and exact solutions of Kudryashov-Sinelshchikov equation and Benney-Luke equation

, 2017
MSc (Applied Mathematics), North-West University, Mafikeng Campus, 2017In this dissertation we study two nonlinear partial differential equations namely; the Kudryashov-Sinclshchikov equation and the Benney-Luke equation.
Mbusi, Sivenathi Oscar
core  

Pfaffian solutions and nonlinear dynamics of surface waves in two horizontal and one vertical directions with dispersion, dissipation and nonlinearity effects

Alexandria Engineering Journal
This study delves into the exploration of the (3+1)-dimensional generalized nonlinear fractional Konopelchenko–Dubrovsky–Kaup–Kupershmidt (GFKDKK) system, a crucial nonlinear evolution equation governing wave motion across various physical domains.
Mostafa M.A. Khater
doaj   +1 more source

Variational approach and exact solutions for a generalized coupled Zakharov–Kuznetsov system

, 2017
In the present paper, we obtain a variational principle for a generalized coupled Zakharov-Kuznetsov system, which does not admit any Lagrangian formulation in its present form.
Porogo, O.P., A.R. Adem, O.P. Porogo, B. Muatjetjeja, Muatjetjeja, B., Adem, A.R.   +5 more
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Analytical and Numerical Investigations of the Kudryashov Generalized KdV Equation

, 2018
This thesis concerns an analytical and numerical study of the Kudryashov Generalized Korteweg-de Vries (KG KdV) equation. Using a refined perturbation expansion of the Fermi-Pasta-Ulam (FPU) equations of motion, the KG KdV equation, which arises at sixth
Hilton, William
core  

Comparative approaches to solving the (2 + 1)-dimensional generalized coupled nonlinear Schrödinger equations with four-wave mixing

Nonlinear Analysis
This paper extensively studies the propagation of optical solitons within the framework of (2 + 1)-dimensional generalized coupled nonlinear Schrödinger equations.
Hanaa A. Eldidamony, Ahmed H. Arnous, Mohammad Mirzazadeh, Mir Sajjad Hashemi, Mustafa Bayram   +4 more
doaj   +1 more source

Solutions of Kudryashov - Sinelshchikov equation and generalized Radhakrishnan-Kundu-Lakshmanan equation by the first integral method

International Journal of Physical Research, 2016
This paper shows the applicability of the First Integral Method in obtaining solutions of Nonlinear Partial Differential Equations (NLPDEs). The method is applied in constructing solutions of Kudryashov-Sinelshchikov equation (KSE) and Generalized Radhakrishnan-Kundu-Lakshmanan Equation (GRKLE).
openaire   +2 more sources

Exact solutions of the generalized Huxley-Burgers' equations

This study employs the Extended Kudryashov method to address the fractional-order generalized Burgers-Huxley equation, the fractional-order generalized Huxley equation, the fractional-order generalized Burgers equation, and the fractional-order ...
Tutam, Sevilay Erdoǧan, AKAR, MUTLU
core   +1 more source