Results 1 to 10 of about 58,753 (188)

Solitary wave solutions of two KdV-type equations

Open Physics, 2018
The present paper investigates the solitary wave solutions of the nonlinear evolution equations with power nonlinearties. The study has been carried out for two examples of KdV-type equations, namely, the nonlinear dispersive equation and the generalised
Al-Ghafri Khalil Salim
doaj   +2 more sources

Construction of new solitary wave solutions of generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony and simplified modified form of Camassa-Holm equations

Open Physics, 2018
In this research work, for the first time we introduced and described the new method, which is modified extended auxiliary equation mapping method.
Lu Dianchen, Seadawy Aly R., Iqbal Mujahid   +2 more
doaj   +2 more sources

Solitary wave solutions of a Whitham–Boussinesq system [PDF]

Nonlinear Analysis: Real World Applications, 2021
The travelling wave problem for a particular bidirectional Whitham system modelling surface water waves is under consideration. This system firstly appeared in [Dinvay, Dutykh, Kalisch 2018], where it was numerically shown to be stable and a good approximation to the incompressible Euler equations.
E. Dinvay, D. Nilsson
openaire   +2 more sources

Onset of the broad-ranging general stable soliton solutions of nonlinear equations in physics and gas dynamics

Results in Physics, 2021
Stable soliton solutions for the nonlinear Klein–Gordon equation in condensed matter physics, particle physics, nonlinear optics, solid state physics and the gas dynamics equation ensuing in shock fronts have been established by putting use of the sine ...
Md. Abdul Kayum, Shamim Ara, M.S. Osman, M. Ali Akbar, Khaled A. Gepreel   +4 more
doaj   +1 more source

Exact solitary and periodic wave solutions of high-order nonlinear Schrödinger equation and their relationship with Hamilton energy

AIP Advances, 2021
In this paper, we study the exact solitary wave solutions, periodic wave solutions, and bounded rational function solution of the high-order nonlinear Schrödinger equation and the evolutional relationships between the solitary and periodic wave solutions
Weiguo Zhang, Yuli Guo, Siyu Hong, Xingqian Ling   +3 more
doaj   +1 more source

Solitary Wave Solutions to a Generalization of the mKdV Equation

Russian Journal of Mathematical Physics, 2023
Preparation for Journal ...
Omel'yanov, G., Rodriguez, J. Noyola
openaire   +2 more sources

Bifurcation, Traveling Wave Solutions, and Stability Analysis of the Fractional Generalized Hirota–Satsuma Coupled KdV Equations

Discrete Dynamics in Nature and Society, 2021
In this paper, the bifurcation, phase portraits, traveling wave solutions, and stability analysis of the fractional generalized Hirota–Satsuma coupled KdV equations are investigated by utilizing the bifurcation theory. Firstly, the fractional generalized
Zhao Li, Peng Li, Tianyong Han
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

The Application of the Functional Variable Method for Solving the Loaded Non-linear Evaluation Equations

Frontiers in Applied Mathematics and Statistics, 2022
In this article, we construct exact traveling wave solutions of the loaded Korteweg-de Vries, the loaded modified Korteweg-de Vries, and the loaded Gardner equation by the functional variable method.
Bazar Babajanov, Fakhriddin Abdikarimov
doaj   +1 more source

Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]

, 2010
The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Degasperis A., E. J. Parkes, S. Abbasbandy   +2 more
core   +1 more source