Results 31 to 40 of about 3,508 (166)

Elastic and nonelastic interactional solutions for the (2 + 1)-dimensional Ito equation

Arab Journal of Basic and Applied Sciences, 2019
In this paper, based on the bilinear form and two new test functions, for the (2 + 1)-dimensional Ito equation, we obtain non-elastic interactional solutions composed of three different types of waves including the solitary wave, the periodic wave and ...
Ai-Juan Zhou, Lan Lan
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Abundant analytical solutions to the new coupled Konno-Oono equation arising in magnetic field

Results in Physics, 2021
This paper focuses on the coupled Konno-Oono equation that arises in the magnetic field. Fifteen sets of the analytical solutions in the form of bright solitary, dark solitary, bright-dark solitary, kinky bright-dark solitary, rough bright solitary and ...
Kang-Jia Wang
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Solitary wave solutions of two KdV-type equations

Open Physics, 2018
The present paper investigates the solitary wave solutions of the nonlinear evolution equations with power nonlinearties. The study has been carried out for two examples of KdV-type equations, namely, the nonlinear dispersive equation and the generalised
Al-Ghafri Khalil Salim
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New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod

Results in Physics, 2018
This paper examines the effectiveness of an integration scheme which called the extended trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial differential equations (PDEs).
Aly R. Seadawy, Jalil Manafian
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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
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Novel analytic solutions of strain wave model in micro-structured solids

Nonlinear Engineering
In this article, the modified extended direct algebraic method is implemented to investigate the strain wave model that governs the wave propagation in micro-structured solids.
Rabie Wafaa B., Ahmed Hamdy M., Hussein Hisham H.   +2 more
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Exact Traveling Wave Solutions for a Nonlinear Evolution Equation of Generalized Tzitzéica-Dodd-Bullough-Mikhailov Type

Journal of Applied Mathematics, 2013
By using the integral bifurcation method, a generalized Tzitzéica-Dodd-Bullough-Mikhailov (TDBM) equation is studied. Under different parameters, we investigated different kinds of exact traveling wave solutions of this generalized TDBM equation.
Weiguo Rui
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Exact Solutions of a High-Order Nonlinear Wave Equation of Korteweg-de Vries Type under Newly Solvable Conditions

Abstract and Applied Analysis, 2014
By using the integral bifurcation method together with factoring technique, we study a water wave model, a high-order nonlinear wave equation of KdV type under some newly solvable conditions.
Weiguo Rui
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Applications of exact traveling wave solutions of Modified Liouville and the Symmetric Regularized Long Wave equations via two new techniques

Results in Physics, 2018
In this current work, we employ novel methods to find the exact travelling wave solutions of Modified Liouville equation and the Symmetric Regularized Long Wave equation, which are called extended simple equation and exp(-Ψ(ξ))-expansion methods.
Dianchen Lu, Aly R. Seadawy, Asghar Ali
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Exploring Families of Solitary Wave Solutions for the Fractional Coupled Higgs System Using Modified Extended Direct Algebraic Method

Fractal and Fractional, 2023
In this paper, we suggest the modified Extended Direct Algebraic Method (mEDAM) to examine the existence and dynamics of solitary wave solutions in the context of the fractional coupled Higgs system, with Caputo’s fractional derivatives.
Muhammad Bilal, Javed Iqbal, Rashid Ali, Fuad A. Awwad, Emad A. A. Ismail   +4 more
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