Results 101 to 110 of about 2,041 (188)

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

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

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  

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

Soliton solutions of thin-film ferroelectric materials equation

Results in Physics
This study examines the thin-film ferroelectric materials equation via two most efficient and reliable integrating schemes. These schemes include the (G′G,1G)-expansion method and the generalized Kudryashov method.
Maasoomah Sadaf, Saima Arshed, Ghazala Akram, Andleeb ul nabi, Hijaz Ahmad, Sameh Askar   +5 more
doaj   +1 more source

Applications of generalized Kudryashov method to non linear evolution equations

2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND APPLICATIONS: ICMTA2021, 2022
Monika Jangra, S. Murtaza, R. Prakash
semanticscholar   +1 more source

Implicit quiescent soliton perturbation in optical metamaterials with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov's forms of self-phase modulation structures by lie symmetry. [PDF]

MethodsX
Adem AR, Arnous AH, Triki H, González-Gaxiola O, Calucag LS, Biswas A.   +5 more
europepmc   +1 more source

Investigation of soliton solutions to the (2 + 1)-dimensional stochastic chiral nonlinear Schrödinger equation with bifurcation, sensitivity and chaotic analysis. [PDF]

Sci Rep
Alqhtani M, Shahbaz A, Abbas M, Saad KM, Birhanu A, Yousaf MZ.   +5 more
europepmc   +1 more source