Eur. Phys. J. Plus (2019) 134: 56
https://doi.org/10.1140/epjp/i2019-12470-0

Regular Article

Lump-type solutions and interaction solutions for the (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation

¹ College of Computer, Jiangxi University of Traditional Chinese Medicine, 330004, Jiangxi, China
² School of science, Beijing University of Posts and Telecommunications, 100876, Beijing, China

^* e-mail: 395625298@qq.com

Received: 19 June 2018
Accepted: 13 December 2018
Published online: 6 February 2019

Abstract

Exploiting the Hirota's bilinear form, we gain new lump-type solutions of the (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation. The interaction between lump-type solutions and double-exponential functions are considered. The shape and features for these resulting solutions are described by taking advantage of the three-dimensional plots and corresponding contour plots by choosing appropriate parameters. The physical meaning of these graphs is given.