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Electrical, Information Engineering and Mechatronics 2011 pp 247–254Cite as

New Exact Solutions for the (2 + 1)-Dimensional General Nizhnik-Novikov-Veselov System

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 138))

Abstract

The mapping method is a kind of classic, efficient and well-developed method to solve nonlinear evolution equations, the remarkable characteristic of which is that we can have many different ansatzs and therefore, a large number of solutions. In this paper, via the improved mapping method and a variable separation method, a series of variable separation solutions (including solitary wave solutions, periodic wave solutions and rational function solutions) to the (2 + 1)-dimensional general Nizhnik-Novikov-Veselov (GNNV) system is derived.

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References

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Acknowledgments

The authors would like to thank professor J.F. Zhang for fruitful and helpful suggestions. This work was supported by the Natural Science Foundation of Zhejiang Province (Grant Nos. Y6100257, Y6110140).

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Authors and Affiliations

  1. Department of Physics, Zhejiang Lishui University, Lishui, 323000, China

    Song-Hua Ma

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  1. Song-Hua Ma
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Correspondence to Song-Hua Ma .

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Editors and Affiliations

  1. , School of Electrical Engineering and, Henan Polytechnic University, Jiaozuo, China, People's Republic

    Xudong Wang

  2. , School of Electrical Engineering and, Henan Polytechnic University, Jiaozuo, China, People's Republic

    Fuzhong Wang

  3. , College of Elementary Education, Chongqing Normal University, Chongqing, China, People's Republic

    Shaobo Zhong

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© 2012 Springer-Verlag London Limited

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Ma, SH. (2012). New Exact Solutions for the (2 + 1)-Dimensional General Nizhnik-Novikov-Veselov System. In: Wang, X., Wang, F., Zhong, S. (eds) Electrical, Information Engineering and Mechatronics 2011. Lecture Notes in Electrical Engineering, vol 138. Springer, London. https://doi.org/10.1007/978-1-4471-2467-2_29

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  • DOI: https://doi.org/10.1007/978-1-4471-2467-2_29

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-2466-5

  • Online ISBN: 978-1-4471-2467-2

  • eBook Packages: EngineeringEngineering (R0)

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