双Sine-Gordon方程的对称和守恒律  

Symmetries and Conservation Laws of Double Sine-Gordon Equation

作　　者：任虹谕[1] 李德生[1] 

机构地区：[1]沈阳师范大学数学与系统科学学院,辽宁沈阳110034

出　　处：《应用数学》2014年第1期206-213,共8页Mathematica Applicata

摘　　要：通过使用经典李对称方法建立双Sine-Gordon方程的李点对称和LieBcklund对称,并证明此方程是非线性自伴随的.根据双Sine-Gordon方程的对称和它的伴随方程构造它的守恒律.By using the classical symmetries method, we derive the Lie point symmetries and the Lie-B/icklund symmetries of the double Sine-Gordon equation. And we demonstrate that it is nonlinearly self-adjoint. Based on the symmetries and the adjoint equations,we derive the conserved vectors of the double Sine-Gordon equation.

关 键 词：双Sine—Gordon方程 非线性自伴随 守恒律 

分 类 号：O175.29[理学—数学]