Interaction solutions for the (2+1)-dimensional Ito equation-Reference-Cited by-同舟云学术

Interaction solutions for the (2+1)-dimensional Ito equation

Published:2019-05-10 Issue:13 Volume:33 Page:1950167
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Tang Yaning¹,Ma Jinli¹,Xie Wenxian¹,Zhang Lijun²

Affiliation:

1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, Shaanxi 710129, China

2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, China

Abstract

In this paper, two classes of interaction solutions of the (2[Formula: see text]+[Formula: see text]1)-dimensional Ito equation are studied in the case of Hirota bilinear form. As the results, the interaction solutions between the rational function and a periodic function as well as the interaction solution between the hyperbolic function and a periodic function are obtained. Based on the interaction solutions, a new transformation is proposed to analyze and discuss the influence of parameters. Furthermore, two kinds of lump solutions can be obtained via the limit behavior of the interaction solutions and the dynamical properties of these solutions are also illustrated.

Funder

Natural Science Basic Research Program of Shaanxi

the Seed Foundation of Innovation and Creation for Graduate Students in Northwestern Polytechnical University

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984919501677

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