散焦HIROTA方程在非零背景下的无穷守恒律  

Conservation Laws of the Defocusing Hirota Equation under Non-Zero Background

作　　者：许庆 

机构地区：[1]华南理工大学数学学院,广东 广州

出　　处：《应用数学进展》2020年第1期1-11,共11页Advances in Applied Mathematics

摘　　要：守恒律是非线性方程可积的一个重要指标,在偏微分方程系统的研究中扮演着重要的角色。本文基于Lax对,研究了一维散焦Hirota方程在非零背景下的无穷守恒律及其高阶守恒量。The conservation laws are important indexes for the integrability of nonlinear equations. It plays an important role in the research of partial differential equation systems. Based on Lax pair, this paper studies infinite conservation laws and higher-order conserved quantities of the one-dimensional defocusing Hirota equation under non-zero backgrounds.

关 键 词：Hirota方程 LAX对 守恒律 

分 类 号：O17[理学—数学]