Results 21 to 30 of about 403 (167)
Journal of Applied Mathematics, 2013 We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical ...
Khaled A. Gepreel
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Mathematics, 2021 In this work, we study the generalized 2D equal-width equation which arises in various fields of science. With the aid of numerous methods which includes Lie symmetry analysis, power series expansion and Weierstrass method, we produce closed-form ...
Chaudry Masood Khalique, Karabo Plaatjie
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Expansion method for modified Jacobi elliptic function and its application
Acta Physica Sinica, 2004 We generalized the Jacobi elliptic function expansion method and obtained some new exact periodic solutions, thus replenished the known results of a number of nonlinear wave equations by using this method.
null Shi Yu-Ren +3 more
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Exact Solutions for Some Fractional Differential Equations
Advances in Mathematical Physics, 2015 The extended Jacobi elliptic function expansion method is used for solving fractional differential equations in the sense of Jumarie’s modified Riemann-Liouville derivative.
Abdullah Sonmezoglu
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F-Expansion Method and New Exact Solutions of the Schrödinger-KdV Equation
The Scientific World Journal, 2014 F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the Schrödinger-KdV equation with a source to illustrate the validity and advantages of the proposed method. A number
Ali Filiz +2 more
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Jacobi elliptic function expansion method under a general function transform and its applications
Acta Physica Sinica, 2004 A Jacobi elliptic function expansion method under a general function transform, which is more general than the Jacobi elliptic function expansion method under a traveling wave transform, is proposed to construct the exact solutions of nonlinear evolution equations.
null Liu Guan-Ting, null Fan Tian-You
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Journal of Function Spaces, 2023 In this article, a new version of the generalized F-expansion method is proposed enabling to obtain the exact solutions of the Biswas-Arshed equation and Boussinesq equation defined by Atangana’s beta-derivative.
Yusuf Pandir, Yusuf Gurefe
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Solitary and Periodic Wave Solutions of the Space-Time Fractional Extended Kawahara Equation
Fractal and Fractional, 2023 The extended Kawahara (Gardner Kawahara) equation is the improved form of the Korteweg–de Vries (KdV) equation, which is one of the most significant nonlinear evolution equations in mathematical physics.
Dilek Varol
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Mathematics, 2022 In this paper, we focus on the stochastic fractional Kundu–Mukherjee–Naskar equation perturbed in the Stratonovich sense by the multiplicative Wiener process.
Wael W. Mohammed +3 more
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Mathematics, 2023 In this paper, we consider the (3 + 1)-dimensional fractional-stochastic quantum Zakharov–Kuznetsov equation (FSQZKE) with M-truncated derivative. To find novel trigonometric, hyperbolic, elliptic, and rational fractional solutions, two techniques are ...
Wael W. Mohammed +3 more
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