Results 21 to 30 of about 843 (183)
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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New Solutions for the Generalized BBM Equation in terms of Jacobi and Weierstrass Elliptic Functions
Abstract and Applied Analysis, 2021 The Jacobi elliptic function method is applied to solve the generalized Benjamin-Bona-Mahony equation (BBM). Periodic and soliton solutions are formally derived in a general form. Some particular cases are considered.
Alvaro H. Salas +2 more
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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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Solitons and Jacobi Elliptic Function Solutions to the Complex Ginzburg–Landau Equation
Frontiers in Physics, 2020 The complex Ginzburg–Landau (CGL) equation which describes the soliton propagation in the presence of the detuning factor is firstly considered; then its solitons as well as Jacobi elliptic function solutions are obtained systematically using a modified ...
Kamyar Hosseini +6 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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Open Physics, 2021 This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical
Gepreel Khaled A., Mahdy Amr M. S.
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Partial Differential Equations in Applied MathematicsIn this research, the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation ((3+1)-GKPE) that expresses various nonlinear phenomena was studied.
Ahmad H. Alkasasbeh +2 more
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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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Note on the Jacobi Elliptic Functions
Journal of Algebra, 1998 The Jacobi elliptic functions \(x_1(t)=\text{sn } t\), \(x_2(t)=\text{cn } t\), \(x_3(t)=\text{dn } t\) constitute the solution of the autonomous system of quadratic differential equations \(x'(t)+x(t)^2=0\), with \(x(t)=(x_1(t),x_2(t),x_3(t))\), initial values \(x(0)=(0,0,1)\), and where \[ (x_1,x_2,x_3)^2=(-x_2x_3,x_3x_1,-k^2x_1x_2), \] which defines
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