Results 31 to 40 of about 724 (174)

Constructing new solitary wave solutions to the strain wave model in micro-structured solids

Alexandria Engineering Journal, 2022
In the present article, the improved modified extended tanh function method is implemented to investigate the strain wave model which governs the wave propagation in micro-structured solids.
Taher A. Nofal, Islam Samir, Niveen Badra, Adel Darwish, Hamdy M. Ahmed, Ahmed H. Arnous   +5 more
doaj   +1 more source

Integrated Jacobi elliptic function solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation by utilizing new solutions of the elliptic equation of order six

Partial Differential Equations in Applied Mathematics
In this research, the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation ((3+1)-GKPE) that expresses various nonlinear phenomena was studied.
Ahmad H. Alkasasbeh, Belal Al-Khamaiseh, Ahmad T. Ali   +2 more
doaj   +1 more source

The exact solutions for the nonlinear variable-coefficient fifth-order Schrödinger equation

Results in Physics, 2022
In the paper, the nonlinear variable-coefficient fifth-order Schrödinger (NLVS) equation is researched. The NLVS equation is an integrable equation, which can be described the spreading of ultrashort pulses in an inhomogeneous optical fiber.
Cheng’ao Li, Junliang Lu
doaj   +1 more source

Jacobi elliptic function solutions to variable nonlinear Klein-Gordon equation [PDF]

Advances in Computer Science Research, 2015
By means of the extended mapping method, the traveling wave solution for the variable nonlinear Klein-Gordon equation is investigated, which is obtained in terms of the Jacobi elliptic functions. The hyperbolic function solutions and trigonal solutions are also obtained. The numerical simulations are attached. At the same time, the physical meanings of
Honglei Wang, Longcong Chen, Bo Liang, Chunhuan Xiang   +3 more
openaire   +1 more source

Jacobi elliptic function solutions to the coupled KdV-mKdV equation

Acta Physica Sinica, 2007
Based on the new expansion of the first kind of elliptic function, a method for constructing Jacobi elliptic function solutions to nonlinear wave equations is p roposed. The method is applied to the coupled KdV-mKdV equation and some new Jacobi elliptic function solutions to the equation are obtained.
null Pan Jun-Ting, null Gong Lun-Xun
openaire   +1 more source

Soliton Solutions and Other Solutions for Kundu–Eckhaus Equation with Quintic Nonlinearity and Raman Effect Using the Improved Modified Extended Tanh-Function Method

Mathematics, 2022
Our paper studies the optical solitons for the Kundu–Eckhaus (KE) equation with quintic nonlinearity and Raman effect. By applying the improved modified extended tanh-function method, many soliton solutions can be obtained such as bright soliton ...
Karim K. Ahmed, Niveen M. Badra, Hamdy M. Ahmed, Wafaa B. Rabie   +3 more
doaj   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Exact solutions for the Cahn–Hilliard equation in terms of Weierstrass-elliptic and Jacobi-elliptic functions

Scientific Reports
AbstractDespite the historical position of the F-expansion method as a method for acquiring exact solutions to nonlinear partial differential equations (PDEs), this study highlights its superiority over alternative auxiliary equation methods. The efficacy of this method is demonstrated through its application to solve the convective–diffusive Cahn ...
Akhtar Hussain, Tarek F. Ibrahim, Fathea M. Osman Birkea, Abeer M. Alotaibi, Bushra R. Al-Sinan, Herbert Mukalazi   +5 more
openaire   +3 more sources

New exact travelling solutions of the generalized Hirota equation

Partial Differential Equations in Applied Mathematics, 2021
In this paper, we solve the generalized Hirota equation with an external potential by means of the new Jacobi elliptic function rational expansion method and the exponential rational function method.
Yaning Tang, Zaijun Liang, Meiling Zhou
doaj   +1 more source

Differentiable Randers‐Finsler Eikonal Solvers

Computer Graphics Forum, EarlyView.
Abstract Fast and differentiable solvers for anisotropic and asymmetric distance fields are a key primitive in geometry processing, enabling gradient‐based optimization over metrics, drift fields, and downstream objectives that depend on geodesic distances and geodesics.
Barak Gahtan, Jacob Shpund, Alex M. Bronstein   +2 more
wiley   +1 more source