Results 51 to 60 of about 927 (70)
Regarding on the exact solutions for the nonlinear fractional differential equations
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
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Solitary Wave Solution of Nonlinear PDEs Arising in Mathematical Physics
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
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Analytical solutions for the fractional diffusion-advection equation describing super-diffusion
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
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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
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Modeling the potential energy field caused by mass density distribution with Eton approach
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
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Exact solutions and conservation laws for the modified equal width-Burgers equation
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
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On soliton solutions of the Wu-Zhang system
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
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Painlevé analysis and exact solutions of bosonized N = 1 supersymmetric Burgers equation
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
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Solitary and compacton solutions of fractional KdV-like equations
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
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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
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