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Zbl 1089.35530
Liu, Xi-Qiang; Chen, Han-Lin; Lü, Yong-Qiang
Explicit solutions of the generalized KdV equations with higher order nonlinearity.
(English)
[J] Appl. Math. Comput. 171, No. 1, 315-319 (2005). ISSN 0096-3003

Summary: By constructing auxiliary functions and equations, we find some new explicit solutions of the generalized KdV equations with higher order nonlinearity. In particular, we get the peaked solitary wave solutions of the generalized KdV equations.
MSC 2000:
*35Q53 KdV-like equations
37K40 Soliton theory, asymptotic behavior of solutions

Keywords: peaked solitary wave

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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