Results 21 to 30 of about 724 (174)
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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Dispersive Optical Solitons for Stochastic Fokas-Lenells Equation With Multiplicative White Noise
Eng, 2022 For the first time, we study the Fokas–Lenells equation in polarization preserving fibers with multiplicative white noise in Itô sense. Four integration algorithms are applied, namely, the method of modified simple equation (MMSE), the method of sine ...
Elsayed M. E. Zayed +3 more
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Journal of Applied Mathematics, 2012 With the aid of symbolic computation, a new extended Jacobi elliptic function expansion method is presented by means of a new ansatz, in which periodic solutions of nonlinear evolution equations, which can be expressed as a finite Laurent series of some ...
Yafeng Xiao, Haili Xue, Hongqing Zhang
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Journal of Applied Mathematics, 2013 Based on the F-expansion method, and the extended version of F-expansion method, we investigate the exact solutions of the Kudryashov-Sinelshchikov equation. With the aid of Maple, more exact solutions expressed by Jacobi elliptic function are obtained.
Yun-Mei Zhao
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Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Journal of Applied Mathematics, 2012 We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
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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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Extended Jacobi Elliptic Function Expansion Method to the ZK-MEW Equation
International Journal of Differential Equations, 2011 The extended Jacobi elliptic function expansion method is applied for Zakharov-Kuznetsov-modified equal-width (ZK-MEW) equation. With the aid of symbolic computation, we construct some new Jacobi elliptic doubly periodic wave solutions and the ...
Weimin Zhang
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Phase portraits and new exact traveling wave solutions of the (2+1)-dimensional Hirota system
Results in Physics, 2023 In this paper, we investigate the (2+1)-dimensional Hirota system of equations, which is essential for modeling physical events since it contains the NLS equation and the cmKdV equation. We apply the Jacobi elliptic function method to obtain new results.
Gaukhar Shaikhova +2 more
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Variational Approach to Solitary Solutions Using Jacobi-Elliptic Functions [PDF]
Mathematical and Computational Applications, 2010 Partial differential equations are transformed into ordinary differential equations, and a variational formulation is then established. The trial function is chosen using Jacobi-elliptic function with some unknown parameters similar to the exp-function method.
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The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations
Abstract and Applied Analysis, 2014 Based on a nonlinear fractional complex transformation, the Jacobi elliptic equation method is extended to seek exact solutions for fractional partial differential equations in the sense of the modified Riemann-Liouville derivative.
Bin Zheng, Qinghua Feng
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