THE EXACT SOLUTIONS OF GENERALIZED ZAKHAROV EQUATIONS WITH HIGH ORDER SINGULAR POINTS AND ARBITRARY POWER NONLINEARITIES

Zhenxing Chen; Huifang Wei; Zhaofu Luo; Longwei Chen

doi:10.11948/2016057

2016 Volume 6 Issue 3

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Zhenxing Chen, Huifang Wei, Zhaofu Luo, Longwei Chen. THE EXACT SOLUTIONS OF GENERALIZED ZAKHAROV EQUATIONS WITH HIGH ORDER SINGULAR POINTS AND ARBITRARY POWER NONLINEARITIES[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 884-892. doi: 10.11948/2016057

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Zhenxing Chen, Huifang Wei, Zhaofu Luo, Longwei Chen. THE EXACT SOLUTIONS OF GENERALIZED ZAKHAROV EQUATIONS WITH HIGH ORDER SINGULAR POINTS AND ARBITRARY POWER NONLINEARITIES[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 884-892. doi: 10.11948/2016057

THE EXACT SOLUTIONS OF GENERALIZED ZAKHAROV EQUATIONS WITH HIGH ORDER SINGULAR POINTS AND ARBITRARY POWER NONLINEARITIES

1 Faculty of Land Source Engineering, Kunming University of Science and Technology Information School, Yunnan University of Finance and Economics, Kunming, Yunnan, 650092, P. R. China;
2 College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan, 650021, P. R. China

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Abstract

Abstract

In this paper, we using bifurcation theory method of dynamical systems to find the exact solutions of generalized Zakharov equations with high order singular points and arbitrary power nonlinearities. Under different parameter conditions, we obtain exact solitary wave solutions, periodic wave solutions as well as kink and anti-kink wave solutions.
- Generalized Zakharov system /
- solitary wave solution /
- kink wave solution /
- periodic wave solution /
- bifurcation
MSC: 35C03;35C04

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References

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