Results 21 to 30 of about 6,339 (163)

Exact Combined Solutions for the (2+1)-Dimensional Dispersive Long Water-Wave Equations

Journal of Function Spaces, 2020
The homogeneous balance of undetermined coefficient (HBUC) method is presented to obtain not only the linear, bilinear, or homogeneous forms but also the exact traveling wave solutions of nonlinear partial differential equations.
Yi Wei, Xing-Qiu Zhang, Zhu-Yan Shao, Lu-Feng Gu, Xiao-Feng Yang   +4 more
doaj   +1 more source

Construction and solitary wave solutions of two-mode higher-order Boussinesq-Burger system

Advances in Difference Equations, 2017
A new nonlinear partial differential system called two-mode higher-order Boussinesq-Burgers system is established. We aim to use the simplified bilinear method to find the necessary constraint conditions that guarantee the existence of both regular and ...
Ali Jaradat, Mohd Salmi Md Noorani, Marwan Alquran, Husein M Jaradat   +3 more
doaj   +1 more source

A novel analytical technique to obtain the solitary solutions for nonlinear evolution equation of fractional order

Advances in Difference Equations, 2020
We investigate some solitary wave results of time fractional evolution equations. By employing the extended rational exp ( ( − ψ ′ ψ ) ( η ) ) $\exp ( (-\frac{{\psi }^{\prime }}{\psi }) ( \eta ) )$ -expansion method, a few different results including ...
Abdul Ghaffar, Ayyaz Ali, Sarfaraz Ahmed, Saima Akram, Moin-ud-Din Junjua, Dumitru Baleanu, Kottakkaran Sooppy Nisar   +6 more
doaj   +1 more source

Small-amplitude excitations in a deformable discrete nonlinear Schroedinger equation

, 1996
A detailed analysis of the small-amplitude solutions of a deformed discrete nonlinear Schr\"{o}dinger equation is performed. For generic deformations the system possesses "singular" points which split the infinite chain in a number of independent ...
A. Chubykalo, A. Chubykalo, A.K. Common, B.L. Holian, B.L. Holian, D. Cai, D. Cai, D. Henning, D. Henning, I.T. Khabibulin, J. Hietarinta, L.D. Faddeev, M. Salerno, M. Salerno, M. Salerno, P. Poggi, V. V. Konotop, V.E. Vekslerchik, V.E. Vekslerchik, V.V. Konotop, V.V. Konotop, V.V. Konotop, V.Z. Enol'skii, Yu.S. Kivshar, Yu.S. Kivshar   +24 more
core   +1 more source

Exploring Novel Soliton Solutions to the Time-Fractional Coupled Drinfel’d–Sokolov–Wilson Equation in Industrial Engineering Using Two Efficient Techniques

Fractal and Fractional
The time-fractional coupled Drinfel’d–Sokolov–Wilson (DSW) equation is pivotal in soliton theory, especially for water wave mechanics. Its precise description of soliton phenomena in dispersive water waves makes it widely applicable in fluid dynamics and
Md Nur Hossain, M. Mamun Miah, Moataz Alosaimi, Faisal Alsharif, Mohammad Kanan   +4 more
doaj   +1 more source

Soliton solutions of a (2+1)-dimensional nonlinear time-fractional Bogoyavlenskii equation model

Partial Differential Equations in Applied Mathematics, 2023
In this analysis, we propose a mathematical approach named the extended (ℵ, ℜ) expansion scheme to integrate nonlinear fractional and classical evolution models. We utilize the technique to the time fractional Bogoyavlenskii equation, which signifies the
Md. Sabur Uddin, Momtaz Begum, Harun-Or-Roshid, Mohammad Safi Ullah, Alrazi Abdeljabbar   +4 more
doaj   +1 more source

Multicomponent long-wave--short-wave resonance interaction system: Bright solitons, energy-sharing collisions, and resonant solitons

, 2014
We consider a general multicomponent (2+1)-dimensional long-wave--short-wave resonance interaction (LSRI) system with arbitrary nonlinearity coefficients, which describes the nonlinear resonance interaction of multiple short waves with a long-wave in two
Kanna, T., Lakshmanan, M., Sakkaravarthi, K., Vijayajayanthi, M.   +3 more
core   +1 more source

Solutions associated with discrete and continuous spectrums in the inverse scattering method for the Vakhnenko-Parkes equation [PDF]

, 2012
In this paper the inverse scattering method is applied to the Vakhnenko-Parkes equation. We describe a procedure for using the inverse scattering transform to find the solutions that are associated with both the bound state spectrum and continuous ...
Parkes, E.J., Vakhnenko, V.O.
core   +1 more source

Optical soliton solutions for a generalized nonlocal nonlinear Schrödinger-type equation with Kudryashov-like refractive index law

Franklin Open
This study explores a perturbed nonlinear optical system governed by Kudryashov’s law with an arbitrary refractive index to derive novel optical soliton solutions.
Entsar El-Shazly, Menas E. Eissa, Amr Elsonbaty, Kottakkaran Sooppy Nisar   +3 more
doaj   +1 more source

On the dynamics of a dual space–time fractional nonlinear Schrödinger model in optical fibers

Results in Physics, 2023
The nonlinear Schrödinger equation (NLSE) is a significant nonlinear complex model known as the most important struture to represent light pulse propagation in optical fibers, which plays a key role in demonstrating the proliferation specifically short ...
Kalim U. Tariq, Muhammad Nadeem, Muhammad Zeeshan, Liliana Guran, Amelia Bucur   +4 more
doaj   +1 more source