Results 51 to 60 of about 927 (70)

Regarding on the exact solutions for the nonlinear fractional differential equations

open access: yesOpen Physics, 2016
In this work, we have considered the modified simple equation (MSE) method for obtaining exact solutions of nonlinear fractional-order differential equations.
Kaplan Melike   +2 more
doaj   +1 more source

Solitary Wave Solution of Nonlinear PDEs Arising in Mathematical Physics

open access: yesOpen Physics, 2019
The solution of nonlinear mathematical models has much importance and in soliton theory its worth has increased. In the present article, we have investigated the Caudrey-Dodd-Gibbon and Pochhammer-Chree equations, to discuss the physics of these ...
Rani Attia   +6 more
doaj   +1 more source

Analytical solutions for the fractional diffusion-advection equation describing super-diffusion

open access: yesOpen Physics, 2016
This paper presents the alternative construction of the diffusion-advection equation in the range (1; 2). The fractional derivative of the Liouville-Caputo type is applied. Analytical solutions are obtained in terms of Mittag-Leffler functions.
Gómez Francisco   +5 more
doaj   +1 more source

Conservation laws, classical symmetries and exact solutions of the generalized KdV-Burgers-Kuramoto equation

open access: yesOpen Physics, 2017
For a generalized KdV-Burgers-Kuramoto equation we have studied conservation laws by using the multiplier method, and investigated its first-level and second-level potential systems. Furthermore, the Lie point symmetries of the equation and the Lie point
Bruzón Maria S.   +3 more
doaj   +1 more source

Modeling the potential energy field caused by mass density distribution with Eton approach

open access: yesOpen Physics, 2016
A new approach for modeling real world problems called the “Eton Approach” was presented in this paper. The "Eton approach" combines both the concept of the variable order derivative together with Atangana derivative with memory derivative.
Alkahtani Badr Saad T., Atangana Abdon
doaj   +1 more source

Exact solutions and conservation laws for the modified equal width-Burgers equation

open access: yesOpen Physics, 2018
In this paper we study the modified equal width-Burgers equation, which describes long wave propagation in nonlinear media with dispersion and dissipation.
Khalique Chaudry Masood   +1 more
doaj   +1 more source

On soliton solutions of the Wu-Zhang system

open access: yesOpen Physics, 2016
In this paper, the extended tanh and hirota methods are used to construct soliton solutions for the WuZhang (WZ) system. Singular solitary wave, periodic and multi soliton solutions of the WZ system are obtained.
Inc Mustafa   +5 more
doaj   +1 more source

Painlevé analysis and exact solutions of bosonized N = 1 supersymmetric Burgers equation

open access: yesOpen Physics, 2015
Based on the bosonization approach, the N = 1 supersymmetric Burgers (SB) system is transformed to a coupled pure bosonic system. The Painlevé property and the Bäcklund transformations (BT) of the bosonized SB (BSB) system are obtained through standard ...
Ren Bo
doaj   +1 more source

Solitary and compacton solutions of fractional KdV-like equations

open access: yesOpen Physics, 2016
In this paper, based on Jumarie’s modified Riemann-Liouville derivative, we apply the fractional variational iteration method using He’s polynomials to obtain solitary and compacton solutions of fractional KdV-like equations.
Tang Bo   +3 more
doaj   +1 more source

Complementary wave solutions for the long-short wave resonance model via the extended trial equation method and the generalized Kudryashov method

open access: yesOpen Physics, 2018
In this paper the nonlinear long-short (LS) wave resonance model is analyzed through a new perspective. We obtain the classification of exact solutions by making use of the complete discrimination system for the trial equation method and through the ...
Cimpoiasu Rodica, Pauna Alina Streche
doaj   +1 more source

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