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A Series of New Exact Solutions to the Nonlinear Equation \({y_t} + {y_{xxx}} - 6{y^2}{y_x} + 6\lambda {y_x} = 0\)

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Nonlinear Physics

Part of the book series: Research Reports in Physics ((RESREPORTS))

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Abstract

Following the Bäcklund transformation and using the theorems proved by the same authors, previously we obtained sets of new solutions to the KdV equation and the nonlinear equation \({y_t} + {y_{xxx}} - 6{y^2}{y_x} + 6\lambda {y_x} = 0\) which transforms into the modified KdV equation when λ = 0. In this paper we present another new series of solutions to the above nonlinear equation.

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Author information

Authors and Affiliations

  1. Department of Mathematical Studies, Hong Kong Polytechnic, Hong Kong, China

    Chi Au

Authors
  1. Chi Au
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Editor information

Editors and Affiliations

  1. University of Science and Technology of China, 230026, Hefei, Anhui, People’s Rep. of China

    Chaohao Gu  & Yishen Li  & 

  2. Computing Center of Academia Sinica, 100080, Beijing, People’s Rep. of China

    Guizhang Tu

  3. Department of Mathematics, University of Science and Technology of China, 230026, Hefei, Anhui, People’s Rep. of China

    Yunbo Zeng

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© 1990 Springer-Verlag Berlin, Heidelberg

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Au, C. (1990). A Series of New Exact Solutions to the Nonlinear Equation \({y_t} + {y_{xxx}} - 6{y^2}{y_x} + 6\lambda {y_x} = 0\) . In: Gu, C., Li, Y., Tu, G., Zeng, Y. (eds) Nonlinear Physics. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84148-4_4

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  • DOI: https://doi.org/10.1007/978-3-642-84148-4_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52389-5

  • Online ISBN: 978-3-642-84148-4

  • eBook Packages: Springer Book Archive

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