论文标题
椭圆溶液对Sinh-Gordon方程的稳定性
Stability of elliptic solutions to the sinh-Gordon equation
论文作者
论文摘要
使用SINH-GORDON方程的集成性，我们证明了其椭圆溶液的光谱稳定性。通过使用高阶保守量SINH-GORDON方程构建Lyapunov功能，我们表明这些椭圆溶液相对于任意时期的亚谐波扰动是轨道稳定的。
Using the integrability of the sinh-Gordon equation, we demonstrate the spectral stability of its elliptic solutions. By constructing a Lyapunov functional using higher-order conserved quantities of the sinh-Gordon equation, we show that these elliptic solutions are orbitally stable with respect to subharmonic perturbations of arbitrary period.
