Sinh-Gordon方程的非线性精确解研究OA

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.