苏州科技大学学报（自然科学版）2026，Vol.43Issue(2)：26-29,4.DOI:10.12084/j.issn.2096-3289.2026.02.003
Sinh-Gordon方程的非线性精确解研究
Research on nonlinear exact solutions to Sinh-Gordon equation
摘要
Abstract
The sinh-Gordon equation is a typical integrable system,whose exact soliton and periodic solutions consti-tute crucial evidence for verifying its integrability.Based on the separable variable method and elementary integral method,the solutions to Sinh-Gordon equation were studied by extending the original method used for solving Sine-Gordon equation.A number of nonlinear periodic solutions,soliton solutions,and rare respiratory soliton solutions were obtained.These nonlinear solutions not only help establish the theoretical paradigm for integrable systems but also provide an effective tool to characterize nonlinear phenomena in crystal dislocation,spin chain excitation,and su-perconducting Josephson junctions.关键词
Sinh-Gordon方程/变量分离法/非线性/精确解Key words
Sinh-Gordon equation/method of variable separation/nonlinear/exact solution分类
数理科学引用本文复制引用
黄英..Sinh-Gordon方程的非线性精确解研究[J].苏州科技大学学报（自然科学版）,2026,43(2):26-29,4.基金项目
国家自然科学基金项目(11261001) （11261001）
