Results 151 to 160 of about 403 (167)
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International Journal of Applied and Computational Mathematics, 2019
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V. Senthil Kumar +4 more
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V. Senthil Kumar +4 more
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Communications in Theoretical Physics, 2006
With the aid of computerized symbolic computation, the new modified Jacobi elliptic function expansion method for constructing exact periodic solutions of nonlinear mathematical physics equation is presented by a new general ansatz. The proposed method is more powerful than most of the existing methods.
Dou Fu-Quan +5 more
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With the aid of computerized symbolic computation, the new modified Jacobi elliptic function expansion method for constructing exact periodic solutions of nonlinear mathematical physics equation is presented by a new general ansatz. The proposed method is more powerful than most of the existing methods.
Dou Fu-Quan +5 more
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Chaos, Solitons & Fractals, 2005
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Qi, Wang, Yong, Chen, Zhang, Hongqing
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Qi, Wang, Yong, Chen, Zhang, Hongqing
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Journal of Physics A: Mathematical and General, 2003
Summary: Based on the well-known sinh-Gordon equation, a new sinh-Gordon equation expansion method is developed. This method transforms the problem of solving nonlinear partial differential equations into the problem of solving the corresponding systems of algebraic equations.
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Summary: Based on the well-known sinh-Gordon equation, a new sinh-Gordon equation expansion method is developed. This method transforms the problem of solving nonlinear partial differential equations into the problem of solving the corresponding systems of algebraic equations.
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Journal of Partial Differential Equations, 2015
In this article, we apply the first elliptic function equation to find a new kind of solutions of nonlinear partial differential equations (PDEs) based on the ho- mogeneous balance method, the Jacobi elliptic expansion method and the auxiliary equation method.
Elsayed M. E. Zayed, K. A. E. Alurrfi
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In this article, we apply the first elliptic function equation to find a new kind of solutions of nonlinear partial differential equations (PDEs) based on the ho- mogeneous balance method, the Jacobi elliptic expansion method and the auxiliary equation method.
Elsayed M. E. Zayed, K. A. E. Alurrfi
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Chaos, Solitons & Fractals, 2007
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Communications in Theoretical Physics
Abstract This study presents an innovative investigation of two nonlinear partial differential equations: the dimensionless time-dependent paraxial equation (DTDPE) and the Biswas–Milovic equation (BME). The DTDPE has important applications in nonlinear optics and quantum mechanics, while the BME has particular significance in the ...
Bahzad Ali M Sharif +3 more
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Abstract This study presents an innovative investigation of two nonlinear partial differential equations: the dimensionless time-dependent paraxial equation (DTDPE) and the Biswas–Milovic equation (BME). The DTDPE has important applications in nonlinear optics and quantum mechanics, while the BME has particular significance in the ...
Bahzad Ali M Sharif +3 more
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New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
Physics Letters, Section A: General, Atomic and Solid State Physics, 2001Zuntao Fu, Shida Liu, Shikuo Liu
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