A Study on Lump Solutions to a Generalized Hirota-Satsuma-Ito Equation in (2+1)-Dimensions. (2nd December 2018)

• Record Type: Journal Article
• Authors: Ma, Wen-Xiu; Li, Jie; Khalique, Chaudry Masood
• Other Names: Hens Chittaranjan Academic Editor.
• Is Part Of: Complexity. Volume 2018(2018)
• Publication Date: 2018-12-02
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2018/9059858
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : The Hirota-Satsuma-Ito equation in (2+1)-dimensions passes the three-soliton test. This paper aims to generalize this equation to a new one which still has abundant interesting solution structures. Based on the Hirota bilinear formulation, a symbolic computation with a new class of Hirota-Satsuma-Ito type equations involving general second-order derivative terms is conducted to require having lump solutions. Explicit expressions for lump solutions are successfully presented in terms of coefficients in a generalized Hirota-Satsuma-Ito equation. Three-dimensional plots and contour plots of a special presented lump solution are made to shed light on the characteristic of the resulting lump solutions.