Results 51 to 60 of about 3,515 (147)

Exact and explicit travelling-wave solutions to the family of new 3D fractional WBBM equations in mathematical physics

Results in Physics, 2020
In this paper, the new 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations newly announced are investigated with the introduction of the spatial and sequential fractional-order derivatives expending in the sense of conformable derivative.
Abdulla - Al - Mamun, Tianqing An, Nur Hasan Mahmud Shahen, Samsun Nahar Ananna, Foyjonnesa, Mohammad Farhad Hossain, Tasiu Muazu   +6 more
doaj   +1 more source

Unveiling dynamic solitons in the (2+1)-dimensional Kadomtsev–Petviashvili equation: Insights from fluids and plasma

Partial Differential Equations in Applied Mathematics
In this study, we examine soliton solutions of extended (2+1)-dimensional Kadomtsev–Petviashvili equation arising in fluid mechanics and plasma physics.
Hamood Ur Rehman, Muhammad Tehseen, Hameed Ashraf, Aziz Ullah Awan, Mohamed R. Ali   +4 more
doaj   +1 more source

Closed-form travelling wave solutions to the nonlinear space-time fractional coupled Burgers’ equation

Arab Journal of Basic and Applied Sciences, 2019
Fractional order nonlinear evolution equations play important roles to give a depiction of the complex physical phenomena of real world. The main aim of this article is to extract exact analytic solutions to the space-time fractional coupled Burgers ...
M. Tarikul Islam, M. Ali Akbar, M. Abul Kalam Azad   +2 more
doaj   +1 more source

Wave Structures and Soliton Solutions of the Fractional Bretherton Model for Microchannel Droplet Transport

Axioms
This paper investigates the optical solitons to the M-truncated fractional (1+1)-dimensional nonlinear generalized Bretherton model with arbitrary constants.
Kiran Khushi, Emad K. Jaradat, Sayed M. Abo-Dahab, Hamood Ur Rehman   +3 more
doaj   +1 more source

Solitary Wave Solutions to a Fractional-Order Fokas Equation via the Improved Modified Extended Tanh-Function Approach

Mathematics
This research employs the improved modified extended tanh-function technique to explore several solitary wave solutions to the fractional-order Fokas equation.
M. B. Almatrafi
doaj   +1 more source

On solving the nonlinear Biswas-Milovic equation with dual-power law nonlinearity using the extended tanh-function method

JOURNAL OF ADVANCES IN PHYSICS, 2015
In this article, we apply the extended tanh-function method to …nd the exact traveling wave solutions of the nonlinear Biswas-Milovic equation (BME), which describes the prop-agation of solitons through optical …bers for trans-continental and trans-oceanic distances. This equation is a generalized version of the nonlinear Schrödinger equation with
openaire   +1 more source

Quasi-periodic, strange chaotic behaviors, and soliton solutions of the (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Applied Mathematics in Science and Engineering
Soliton solutions and chaotic analysis in integrable equations have become a hot topic in recent years. This work presents the qualitative dynamics and analytical solutions of (4+1)-D Boiti-Leon-Manna-Pempinelli (BLMP) model.
Khaled Aldwoah, W. Eltayeb Ahmed, Mohammed Alsharafi, Alaa Mustafa, E. I. Hassan, Ria H. Egami   +5 more
doaj   +1 more source

The Perturbed Chen–Lee–Liu Equation: Diverse Optical Soliton Solutions and Other Wave Solutions

Advances in Mathematical Physics
The objective of the present study is to extract the optical soliton solutions (OSSs) of the perturbed Chen–Lee–Liu equation by exerting three techniques, which are the extended Wang’s direct mapping method, tanh/coth function method and the Subequation ...
Kang-Jia Wang
doaj   +1 more source

Advanced soliton structures and elliptic wave patterns in a sixth-order nonlinear Schrödinger equation using improved modified extended tanh function method. [PDF]

Sci Rep
Fahim MM, Ahmed HM, Dib KA, Samir I.
europepmc   +1 more source

Soliton dynamics in the stochastic nonlinear Schrödinger equation with self-phase modulation and multiplicative white noise. [PDF]

Sci Rep
Shehab MF, Ahmed HM, Hussein HH.
europepmc   +1 more source