Results 91 to 100 of about 1,282 (135)

Bifurcation, chaotic behavior and soliton solutions to the KP-BBM equation through new Kudryashov and generalized Arnous methods

AIMS Mathematics
<abstract><p>This research paper investigates the Kadomtsev-Petviashvii-Benjamin-Bona-Mahony equation. The new Kudryashov and generalized Arnous methods are employed to obtain the generalized solitary wave solution. The phase plane theory examines the bifurcation analysis and illustrates phase portraits.
Chander Bhan, Ravi Karwasra, Sandeep Malik, Sachin Kumar, Ahmed H. Arnous, Nehad Ali Shah, Jae Dong Chung   +6 more
openaire   +2 more sources

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

The new soliton solution types to the Myrzakulov-Lakshmanan-XXXII-equation

AIMS Mathematics
Our attention concenters on deriving diverse forms of the soliton arising from the Myrzakulov-Lakshmanan XXXII (M-XXXII) that describes the generalized Heisenberg ferromagnetic equation.
Emad H. M. Zahran , Ahmet Bekir , Reda A. Ibrahim, Ratbay Myrzakulov   +3 more
doaj   +1 more source

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

Existence, uniqueness and analyticity of space-periodic solutions to the regularised long-wave equation

, 2013
We consider space-periodic evolutionary and travelling-wave solutions to the regularised long-wave equation (RLWE) with damping and forcing. We establish existence, uniqueness and smoothness of the evolutionary solutions for smooth initial conditions ...
Chertovskih, R., Chian, A. C. -L., Podvigina, O., Rempel, E., Zheligovsky, V.   +4 more
core  

Dynamic wave solutions for (2+1)-dimensional DJKM equation in plasma physics

AIMS Mathematics
In this paper, we attempt to obtain exact and novel solutions for Date-Jimbo-Kashiwara-Miwa equation (DJKM) via two different techniques: Lie symmetry analysis and generalized Kudryashov method (GKM).
Ahmed A. Gaber , Abdul-Majid Wazwaz
doaj   +1 more source

Exploring new traveling wave solutions by solving the nonlinear space–time fractal Fornberg−Whitham equation

Scientific Reports
Complex and nonlinear fractal equations are ubiquitous in natural phenomena. This research employs the fractal Euler−Lagrange and semi-inverse methods to derive the nonlinear space–time fractal Fornberg–Whitham equation.
A. Nazari-Golshan
doaj   +1 more source

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

Exploring solitary wave solutions to the simplified modified camassa-holm equation through a couple sophisticated analytical approaches

Results in Physics
The simplified modified Camassa-Holm equation, a developed Korteweg-de Vries equation, is an integrable nonlinear dispersive water wave equation with potential applications in diverse fields such as shallow water waves, liquid drop patterning, water ...
Sujoy Devnath, Shahansha Khan, M. Ali Akbar   +2 more
doaj   +1 more source

Resonant soliton molecules, asymmetric solitons and the other diverse wave solutions to the (3 + 1)-dimensional generalized Kudryashov-Sinelshchikov equation for liquid with gas bubbles

Results in Physics
Under the present study, we focus on developing some exact solutions of the (3 + 1)-dimensional generalized Kudryashov-Sinelshchikov equation (KSE) for the liquid with gas bubbles.
Peng Xu, Huan Huang, Chun Shan, Kang-Jia Wang   +3 more
doaj   +1 more source