Integrability and multiple-rogue and multi-soliton wave solutions of the (3+1)-dimensional Hirota-Satsuma-Ito equation

被引：14

作者：

Chu, Jingyi ^{[1
]}

Liu, Yaqing ^{[1
]}

Ma, Wen-Xiu ^{[2
,3
,4
,5
]}

机构：

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

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[4] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

[5] North West Univ, Dept Math Sci, Mat Sci Innovat & Modelling, Makeng Campus, ZA-2735 Mmabatho, South Africa

来源：

MODERN PHYSICS LETTERS B | 2025年 / 39卷 / 21期

基金：

北京市自然科学基金;

关键词：

(3+1)-dimensional Hirota-Satsuma-Ito equation; Hirota N-soliton condition; Hirota bilinear method; multi-rogue wave solutions; STEEPEST DESCENT METHOD; N-SOLITON SOLUTION; BILINEAR EQUATIONS; 3-SOLITON CONDITION; SEARCH; RIEMANN; LUMP; MODEL;

D O I：

10.1142/S0217984925500605

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

This paper constructs a new (3+1)-dimensional Hirota-Satsuma-Ito equation and employs the Hirota N-soliton condition to determine the conditions for the existence of N-soliton solutions. Under these conditions, the Hirota bilinear method is utilized to derive N-soliton solutions of the equation. Additionally, breather solutions of the equation are obtained through constraints on complex conjugate parameters, while lump solutions are derived using the long-wave limit method. Building upon these results, interaction solutions are also explored. Furthermore, through the multiple-rogue wave method, multi-rogue wave solutions of the (3+1)-dimensional Hirota-Satsuma-Ito equation are investigated. A comparison between lump solutions obtained via the Hirota bilinear method and the multi-rogue wave solutions from multiple-rogue wave method reveals significant discrepancies.

引用

页数：27

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