Results 41 to 50 of about 665 (107)

Exact solitary wave solutions of fractional modified Camassa-Holm equation using an efficient method

Alexandria Engineering Journal, 2020
In this work, a competent and efficient technique namely Exp-function method is used to find the solitary wave solutions of time fractional simplified modified Camassa-Holm equation (CH-equation).
Aniqa Zulfiqar, Jamshad Ahmad
doaj  

Abundant closed-form wave solutions and dynamical structures of soliton solutions to the (3+1)-dimensional BLMP equation in mathematical physics

Journal of Ocean Engineering and Science, 2022
The physical principles of natural occurrences are frequently examined using nonlinear evolution equations (NLEEs). Nonlinear equations are intensively investigated in mathematical physics, ocean physics, scientific applications, and marine engineering ...
Sachin Kumar, Amit Kumar
doaj  

Traveling Wave Solutions of a Reaction-Diffusion Equation with State-Dependent Delay [PDF]

, 2014
This paper is concerned with the traveling wave solutions of a reaction-diffusion equation with state-dependent delay. When the birth function is monotone, the existence and nonexistence of monotone traveling wave solutions are established.
Lin, Guo, Wang, Haiyan
core  

Sine-Gordon expansion method for exact solutions to conformable time fractional equations in RLW-class

Journal of King Saud University: Science, 2020
The Sine-Gordon expansion method is implemented to construct exact solutions some conformable time fractional equations in Regularized Long Wave (RLW)-class.
Alper Korkmaz, Ozlem Ersoy Hepson, Kamyar Hosseini, Hadi Rezazadeh, Mostafa Eslami   +4 more
doaj  

Analytical behavior of weakly dispersive surface and internal waves in the ocean

Journal of Ocean Engineering and Science, 2022
The (2+1)-dimensional interaction of a Riemann wave propagating along the y-axis with a long wave along the x-axis is described by the space-time fractional Calogero-Degasperis (CD) and fractional potential Kadomstev-Petviashvili (PKP) equation.
Mohammad Asif Arefin, Md. Abu Saeed, M. Ali Akbar, M. Hafiz Uddin   +3 more
doaj  

Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in (3+1)-dimensions with gas bubbles in hydrodynamics and fluids

Journal of Ocean Engineering and Science, 2023
Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific ...
Sachin Kumar, Ihsanullah Hamid, M.A. Abdou   +2 more
doaj  

Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics

Journal of Ocean Engineering and Science, 2022
The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar, Monika Niwas, Shubham Kumar Dhiman   +2 more
doaj  

Travelling wave solutions of the density-suppressed motility model [PDF]

arXiv, 2020
In this paper, we study the traveling wave solutions to the density-suppressed motility model describing the ``self-trapping'' mechanism that induces spatio-temporal pattern formations observed in the experiment. We establish the existence of traveling wavefronts with a minimal wave speed and discuss the selection of wave profiles supplemented with ...
arxiv  

The new solitary wave structures for the (2 + 1)-dimensional time-fractional Schrodinger equation and the space-time nonlinear conformable fractional Bogoyavlenskii equations

Alexandria Engineering Journal, 2020
The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation and Schrodinger equation. We perform a new method to take some new solitary wave phenomena for each equation.
Md Nur Alam, Cemil Tunç
doaj  

SPATIAL HAMILTONIAN IDENTITIES FOR NONLOCALLY COUPLED SYSTEMS

Forum of Mathematics, Sigma, 2018
We consider a broad class of systems of nonlinear integro-differential equations posed on the real line that arise as Euler–Lagrange equations to energies involving nonlinear nonlocal interactions.
BENTE BAKKER, ARND SCHEEL
doaj   +1 more source