Wronskian solutions and N–soliton solutions for the Hirota–Satsuma equation

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-08-20 DOI:10.1016/j.aml.2024.109279

引用次数: 0

Abstract

By employing the Hirota method and Wronskian technique, we firstly give the bilinear form, $N$ -soliton solutions and the Wronskian solutions of the Hirota–Satsuma equation. Explicit one- and two-soliton solutions are given for the Hirota–Satsuma equation. The solutions of good Boussinesq equation are obtained through the Miura transformation. The two solitons have the degenerated forms of antisoliton-antikink and $W$ -shape type.

查看原文本刊更多论文

广田萨摩方程的 Wronskian 解和 N-soliton 解

通过使用广田方法和沃伦斯基技术，我们首先给出了广田-萨摩方程的双线性形式、N-孑子解和沃伦斯基解。给出了 Hirota-Satsuma 方程的一oliton 解和二oliton 解。通过三浦变换得到了良好的布辛斯方程解。两个孤立子具有反孤立子-反折叠和 W 形的退化形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.

文献相关原料

公司名称	产品信息	采购帮参考价格