Results 61 to 70 of about 3,508 (166)

The First-Integral Method and Abundant Explicit Exact Solutions to the Zakharov Equations

Journal of Applied Mathematics, 2012
This paper is concerned with the system of Zakharov equations which involves the interactions between Langmuir and ion-acoustic waves in plasma. Abundant explicit and exact solutions of the system of Zakharov equations are derived uniformly by using the ...
Yadong Shang, Xiaoxiao Zheng
doaj   +1 more source

Dynamical wave structures for some diffusion--reaction equations with quadratic and quartic nonlinearities

Open Physics
This work investigates the quadratic and quartic nonlinear diffusion–reaction equations with nonlinear convective flux terms, which are investigated analytically. Diffusion–reaction equations have a wide range of applications in several scientific areas,
Ahmed Nauman, Macías-Díaz Jorge E., Ali Makhdoom, Jawaz Muhammad, Baber Muhammad Z., Medina-Guevara María G.   +5 more
doaj   +1 more source

Application of Bifurcation Method to the Generalized Zakharov Equations

Abstract and Applied Analysis, 2012
We use the bifurcation method of dynamical systems to study the traveling wave solutions for the generalized Zakharov equations. A number of traveling wave solutions are obtained.
Ming Song
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Conservation laws, solitary wave solutions, and lie analysis for the nonlinear chains of atoms. [PDF]

Sci Rep, 2023
Junaid-U-Rehman M, Kudra G, Awrejcewicz J.   +2 more
europepmc   +1 more source

The Bäcklund Transformations and Abundant Exact Explicit Solutions for a General Nonintegrable Nonlinear Convection-Diffusion Equation

Abstract and Applied Analysis, 2012
The Bäcklund transformations and abundant exact explicit solutions for a class of nonlinear wave equation are obtained by the extended homogeneous balance method.
Yong Huang, Yadong Shang
doaj   +1 more source

Symmetry analysis, bifurcation and exact solutions of nonlinear wave equation in semiconductors with strong spatial dispersion

Electronic Journal of Differential Equations, 2017
Based on Lie symmetry analysis and steady bifurcation method, we study the nonlinear wave equation in semiconductors with strong spatial dispersion.
Ben Gao, Chunfang He
doaj  

Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation

Alexandria Engineering Journal
The (3+1)-dimensional Kadomtsev–Petviashvili equation arises in various physical contexts, including fluid mechanics, plasma physics, and nonlinear optics. Exact solutions play a vital role in understanding the physical behavior of a system.
Amjad E. Hamza, Khidir Shaib Mohamed, Alaa Mustafa, Khaled Aldwoah, Mohammed Hassan, Hicham Saber   +5 more
doaj   +1 more source

Solitary wave solutions to some nonlinear fractional evolution equations in mathematical physics. [PDF]

Heliyon, 2020
Ali HMS, Habib MA, Miah MM, Akbar MA.
europepmc   +1 more source

Exploring the optical soliton and solitary wave solutions for the nonlinear Akbota equation via improved expansion approach

AIP Advances
In the present research, we explored the various kinds of optical solitons and many other solitary wave solutions for the nonlinear Akbota equation by utilizing the symbolic computational simulation on the basis of the improved F-expansion approach.
Mujahid Iqbal, Jianqiao Liu, Waqas Ali Faridi, Huda Daefallh Alrashdi, Abeer Aljohani, David Yaro, Salma Aljawi, Abdullah Saad Alsubaie   +7 more
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Exact solitary wave solutions and linear stability of the β-time-fractional Gardner equation in shallow water dynamics. [PDF]

Sci Prog
Elsaid Ramadan M, Ahmed HM, Radwan T, Alkhatib S, Soliman M.   +4 more
europepmc   +1 more source