Analytic and loop solutions for the K(2,2) equation (focusing branch)

Volume 9, Issue 3, pp 1334--1340 http://dx.doi.org/10.22436/jnsa.009.03.56

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Authors

Chunhai Li - School of Mathematics and Computing Science and Guangxi Experiment Center of Information Science, Guilin University of Electronic Technology, Guilin, 541004, P. R. China. Shengqiang Tang - School of Mathematics and Computing Science and Guangxi Experiment Center of Information Science, Guilin University of Electronic Technology, Guilin, 541004, P. R. China. Zhongjun Ma - School of Mathematics and Computing Science and Guangxi Experiment Center of Information Science, Guilin University of Electronic Technology, Guilin, 541004, P. R. China.

Abstract

In this paper, we study analytic and loop solutions of the K(2,2) equation(focusing branch), which is first proposed by Rosenau. The implicit analytic and loop solutions are obtained by using the dynamical system approach. Moreover, we investigate how the famous Rosenau-Hyman compactons can be recovered as limits of classical solitary wave solutions forming analytic homoclinic orbits for the reduced dynamical system by theoretical analysis and numerical simulation.

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Keywords

• Loop solution
• peakon
• compacton
• solitary wave
• K(2،2) equation.

MSC

•  35C08
•  37K40

References

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