Results 141 to 150 of about 403 (167)

Discrete Jacobi elliptic function expansion method for nonlinear differential-difference equations

Physica Scripta, 2009
In this paper, an improved algorithm is devised to derive exact travelling wave solutions of nonlinear differential-difference equations (DDEs) by means of Jacobi elliptic functions. With the aid of symbolic computation, we choose the integrable discrete nonlinear Schrodinger equation to illustrate the validity and advantages of the method. As a result,
Sheng Zhang, Hong-Qing Zhang
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Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to (1 + 1)-dimensional dispersive long wave equation

Chaos, Solitons & Fractals, 2005
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Chen, Yong, Wang, Qi
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Analytical Solutions of Two Space-Time Fractional Nonlinear Models Using Jacobi Elliptic Function Expansion Method

Contemporary Mathematics, 2021
In this manuscript, the space-time fractional Equal-width (s-tfEW) and the space-time fractional Wazwaz-Benjamin-Bona-Mahony (s-tfWBBM) models have been investigated which are frequently arises in nonlinear optics, solid states, fluid mechanics and shallow water.
Zillur Rahman, M. Zulfikar Ali, null Harun-Or-Roshid, Mohammad Safi Ullah   +3 more
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Construction of periodic and solitary wave solutions by the extended Jacobi elliptic function expansion method

Communications in Nonlinear Science and Numerical Simulation, 2007
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Abdou, M. A., Elhanbaly, A.
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Exact solutions for the improved mKdv equation with conformable derivative by using the Jacobi elliptic function expansion method

Optical and Quantum Electronics
Aamir Farooq, Muhammad Ishfaq Khan, Wen Xiu Ma   +2 more
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Extended Jacobi elliptic function expansion method and its application to nonlinear evolution equation

Chaos, Solitons & Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen, Xiaoyong, Lü, Dazhao
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Extended Jacobi elliptic function expansion method and its applications

Communications in Nonlinear Science and Numerical Simulation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optical solitons in birefringent fibers with Biswas–Arshed model by generalized Jacobi elliptic function expansion method

Optik, 2020
Abstract In this paper, we employ a generalized Jacobi elliptic function expansion method to extract optical solitons and other solutions to Biswas–Arshed model in birefringent fibers. Jacobi elliptic functions solutions, bright solitons, singular solitons, dark solitons, periodic wave solutions and other solutions have been found.
Elsayed M.E. Zayed, Mohamed E.M. Alngar
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Further Extended Jacobi Elliptic Function Rational Expansion Method and New Families of Jacobi Elliptic Function Solutions to (2+1)-Dimensional Dispersive Long Wave Equation

Communications in Theoretical Physics, 2006
In this paper, a further extended Jacobi elliptic function rational expansion method is proposed for constructing new forms of exact solutions to nonlinear partial differential equations by making a more general transformation. For illustration, we apply the method to (2+1)-dimensional dispersive long wave equation and successfully obtain many new ...
Zhang Yuan-Yuan, Wang Qi, Zhang Hong-Qing   +2 more
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A General Jacobi Elliptic Function Rational Expansion Method and Its Applications in Nonlinear Wave Equations

2012 Fourth International Conference on Computational and Information Sciences, 2012
A new general Jacobi elliptic function rational expansion method, which is more general and powerful than the tanh method, the sine-cosine method, the Jacobi elliptic function method and the extended Jacobi elliptic function method, and the extended Jacobi elliptic function rational expansion method, is proposed to construct abundant rational formal ...
DaZhao Lu, YanYing Cui, ChangHe Liu
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