Results 11 to 20 of about 315,021 (338)

Exploring Families of Solitary Wave Solutions for the Fractional Coupled Higgs System Using Modified Extended Direct Algebraic Method

Fractal and Fractional, 2023
In this paper, we suggest the modified Extended Direct Algebraic Method (mEDAM) to examine the existence and dynamics of solitary wave solutions in the context of the fractional coupled Higgs system, with Caputo’s fractional derivatives.
Muhammad Bilal, Javed Iqbal, Rashid Ali, Fuad A. Awwad, Emad A. A. Ismail   +4 more
doaj   +2 more sources

Bifurcation, chaotic behaviors and solitary wave solutions for the fractional Twin-Core couplers with Kerr law non-linearity. [PDF]

Sci Rep
The main purpose of this article is to analyze the bifurcation, chaotic behaviors, and solitary wave solutions of the fractional Twin-Core couplers with Kerr law non-linearity by using the planar dynamical system method.
Li Z, Lyu J, Hussain E.
europepmc   +2 more sources

New solitary wave solutions of generalized fractional Tzitzéica-type evolution equations using Sardar sub-equation method

Optical and quantum electronics, 2023
In this study, Sardar sub-equation method is employed to obtain the solitary wave solutions for generalized fractional Tzitzéica type equations. By utilizing this method, novel solutions are derived for Tzitzéica, Tzitzéica Dodd–Bullough–Mikhailov and ...
Dean Chou, Hamood Ur Rehman, Aamna Amer, Aatika Amer   +3 more
semanticscholar   +1 more source

Solitary Wave Solutions to a Fractional Model Using the Improved Modified Extended Tanh-Function Method

Fractal and Fractional, 2023
Nonlinear fractional partial differential equations (NLFPDEs) are widely used in simulating a variety of phenomena arisen in several disciplines such as applied mathematics, engineering, physics, and a wide range of other applications.
M. Almatrafi
semanticscholar   +1 more source

New solitary wave solutions of the Korteweg-de Vries (KdV) equation by new version of the trial equation method

Electronic Journal of Applied Mathematics, 2023
New solitary wave solutions for the Korteweg-de Vries (KdV) equation by a new version of the trial equation method are attained. Proper transformation reduces the Korteweg-de Vries (KdV) equation to a quadratic ordinary differential equation that is ...
Y. Pandır, Ali Ekin
semanticscholar   +1 more source

Structure of analytical ion-acoustic solitary wave solutions for the dynamical system of nonlinear wave propagation

Open Physics, 2022
In the present study, the ion-acoustic solitary wave solutions for Kadomtsev–Petviashvili (KP) equation, potential KP equation, and Gardner KP equation are constructed.
H. Zahed, A. Seadawy, M. Iqbal
semanticscholar   +1 more source

Metastability of solitary roll wave solutions of the St. Venant equations with viscosity [PDF]

, 2010
We study by a combination of numerical and analytical Evans function techniques the stability of solitary wave solutions of the St. Venant equations for viscous shallow-water flow down an incline, and related models.
Alexander, Azevedo, Azevedo, Balmforth, Barker, Barker, Blake Barker, Brin, Brin, Carter, Chang, Curtis, Deconinck, Dressler, Gardner, Gardner, Godillon, Henry, Humpherys, Humpherys, Humpherys, Hwang, Johnson, Johnson, Kato, Kevin Zumbrun, Kierzenka, L. Miguel Rodrigues, Lyng, Mascia, Mascia, Mascia, Mathew A. Johnson, Métivier, Noble, Noble, Oh, Pego, Pego, Pego, Plaza, Sandstede, Sattinger, Texier, Texier, Win, Yu, Zumbrun, Zumbrun, Zumbrun, Zumbrun, Zumbrun   +51 more
core   +2 more sources

Solitary wave solutions to the Isobe‐Kakinuma model for water waves [PDF]

Studies in Applied Mathematics, 2020
AbstractWe consider the Isobe‐Kakinuma model for two‐dimensional water waves in the case of a flat bottom. The Isobe‐Kakinuma model is a system of Euler‐Lagrange equations for a Lagrangian approximating Luke's Lagrangian for water waves. We show theoretically the existence of a family of small amplitude solitary wave solutions to the Isobe‐Kakinuma ...
Colin, Mathieu, Higuchi, Tatsuo
openaire   +4 more sources

Stability analysis of the soliton solutions for the generalized quintic derivative nonlinear Schrödinger equation

Results in Physics, 2016
The propagation of hydrodynamic wave packets and media with negative refractive index is studied in a quintic derivative nonlinear Schrödinger (DNLS) equation.
Chen Yue, Aly Seadawy, Dianchen Lu
doaj   +1 more source

Exact Solutions of Travelling Wave Model via Dynamical System Method

Abstract and Applied Analysis, 2016
By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger-Boussinesq equations are studied. Based on this method, the bounded exact travelling wave solutions are obtained which contain solitary wave
Heng Wang, Longwei Chen, Hongjiang Liu
doaj   +1 more source