Analytic and loop solutions for the K(2,2) equation (focusing branch)
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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.
Share and Cite
ISRP Style
Chunhai Li, Shengqiang Tang, Zhongjun Ma, Analytic and loop solutions for the K(2,2) equation (focusing branch), Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 1334--1340
AMA Style
Li Chunhai, Tang Shengqiang, Ma Zhongjun, Analytic and loop solutions for the K(2,2) equation (focusing branch). J. Nonlinear Sci. Appl. (2016); 9(3):1334--1340
Chicago/Turabian Style
Li, Chunhai, Tang, Shengqiang, Ma, Zhongjun. "Analytic and loop solutions for the K(2,2) equation (focusing branch)." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 1334--1340
Keywords
- Loop solution
- peakon
- compacton
- solitary wave
- K(2،2) equation.
MSC
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