Integrability and exact solutions of the (2+1)-dimensional variable coefficient Ito equation

被引：5

作者：

Chu, Jingyi ^{[1
]}

Liu, Yaqing ^{[1
]}

Chen, Xin ^{[1
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China

来源：

NONLINEAR DYNAMICS | 2024年 / 112卷 / 02期

关键词：

Hirota bilinear method; Bell polynomial; Spatially variable coefficient; Lax pair; N-soliton solution; BILINEAR BACKLUND TRANSFORMATION; MULTIPLE-SOLITON SOLUTIONS; LUMP;

D O I：

10.1007/s11071-023-09090-6

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper focuses on the study of the (2+1)-dimensional Ito equation with spatially variable coefficients. The Lax integrability of the equation is confirmed by the Lax pair derived from the Bell polynomials. In addition, the Hirota bilinear form, the Backlund transformation and infinite conservation laws of the equation are obtained by the Bell polynomials. More importantly, the ansatz method is utilized to construct lump solutions and interaction solutions between one line soliton and one lump, and the Hirota bilinear method is employed to construct different types of N-soliton solutions and interaction solutions for the (2+1)-dimensional Ito equation with different coefficient functions. All these solutions are presented graphically.

引用

页码：1307 / 1325

页数：19

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