Results 1 to 10 of about 123,704 (291)

Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics [PDF]

Heliyon, 2021
In this current study, we described a modified extended tanh-function (mETF) method to find the new and efficient exact travelling and solitary wave solutions to the modified Liouville equation and modified regularized long wave (mRLW) equation in water ...
Abdulla - Al Mamun, Samsun Nahar Ananna, Tianqing An, Nur Hasan Mahmud Shahen, Md. Asaduzzaman, Foyjonnesa   +5 more
doaj   +4 more sources

Travelling wave solutions in a negative nonlinear diffusion-reaction model. [PDF]

J Math Biol, 2020
We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion-reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest.
Li Y, Heijster PV, Marangell R, Simpson MJ.   +3 more
europepmc   +2 more sources

Travelling Wave Solutions of the Schrödinger-Boussinesq System [PDF]

Abstract and Applied Analysis, 2012
We establish exact solutions for the Schrödinger-Boussinesq System iut+uxx−auv=0, vtt−vxx+vxxxx−b(|u|2)xx=0, where a and b are real constants. The (G′/G)-expansion method is used to construct exact periodic and soliton solutions of this equation.
Adem Kılıcman, Reza Abazari
doaj   +4 more sources

Periodic Travelling Wave Solutions of Discrete Nonlinear Schrödinger Equations

Journal of Applied Mathematics, 2017
The existence of nonzero periodic travelling wave solutions for a general discrete nonlinear Schrödinger equation (DNLS) on one-dimensional lattices is proved. The DNLS features a general nonlinear term and variable range of interactions going beyond the
Dirk Hennig
doaj   +3 more sources

Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2006
We present a review of our recent works directed towards discovery of a periodic, kink-like and soliton-like travelling wave solutions within the models of transport phenomena and the mathematical biology. Analytical description of these wave patterns is
Vsevolod A. Vladimirov, Ekaterina V. Kutafina, Anna Pudelko   +2 more
doaj   +5 more sources

A comparative analysis of generalized and extended (G′G)-Expansion methods for travelling wave solutions of fractional Maccari's system with complex structure

Alexandria Engineering Journal, 2023
Fractional partial differential equations emerge as a prominent research area in recent times owing to their ability to depict intricate physical phenomena. Discovering travelling wave solutions for fractional partial differential equations is an arduous
Rashid Ali, Elsayed Tag-eldin
doaj   +1 more source

Classification of Bounded Travelling Wave Solutions of the General Burgers-Boussinesq Equation [PDF]

Mathematics Interdisciplinary Research, 2019
By using bifurcation theory of planar dynamical systems, we classify all bounded travelling wave solutions of the general Burgers-Boussinesq equation, and we give their corresponding phase portraits.
Rasool Kazemi, Masoud Mossadeghi
doaj   +1 more source

Variational Principle and Diverse Wave Structures of the Modified Benjamin-Bona-Mahony Equation Arising in the Optical Illusions Field

Axioms, 2022
This study focuses on investigating the modified Benjamin-Bona-Mahony equation that is used to model the long wave in nonlinear dispersive media of the optical illusion field.
Kang-Jia Wang
doaj   +1 more source

Some remarks on the stability and instability properties of solitary waves for the double dispersion equation; pp. 263–269 [PDF]

Proceedings of the Estonian Academy of Sciences, 2015
 In this article we give a review of our recent results on the instability and stability properties of travelling wave solutions of the double dispersion equation utt – uxx + auxxxx – buxxtt = – (|u|p–1u)xx for p > 1, a ³ b > 0 ...
Hüsnü Ata Erbay, Saadet Erbay, Albert Erkip   +2 more
doaj   +1 more source

Numerical Analysis and Approximate Travelling Wave Solutions for a Higher Order Internal Wave System

Trends in Computational and Applied Mathematics, 2022
In this work we focus on the numerical solution of a higher order bidirectional nonlinear model of Boussinesq type involving a nonlocal operator. Based on a von Neumann stability analysis for the linearized problem, an efficient and stable scheme for ...
W. C. Lesinhovski, A. Ruiz de Zárate
doaj   +1 more source