Eur. Phys. J. B (2015) 88: 187
https://doi.org/10.1140/epjb/e2015-60099-0

Regular Article

Construction of rogue wave and lump solutions for nonlinear evolution equations

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P.R. China

^a e-mail: lvzhsh@amss.ac.cn

Received: 7 February 2015
Received in final form: 8 June 2015
Published online: 22 July 2015

Abstract

Based on symbolic computation and an ansatz, we present a constructive algorithm to seek rogue wave and lump solutions for nonlinear evolution equations. As illustrative examples, we consider the potential-YTSF equation and a variable coefficient KP equation, and obtain nonsingular rational solutions of the two equations. The solutions can be rogue wave or lump solutions under different parameter conditions. We also present graphic illustration of some special solutions which would help better understand the evolution of solution waves.