| Chen-Lee-Liu方程的自伴性和守恒律 |
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| 作者单位： | ;1.沈阳师范大学数学与系统科学学院 |
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| 摘 要： | 通过使用经典对称方法建立了Chen-Lee-Liu方程的李点对称,并且证明了此方程是严格自伴随的.根据Chen-Lee-Liu方程的对称和它的伴随方程构造了它的守恒量,进而得到了关于时间变量t和空间变量x这两个对称的守恒律,而其他对称得到的是平凡的守恒律.
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| 关 键 词： | Chen-Lee-Liu方程 非线性自伴性 守恒律 |
Self-adjointness and Conservation Laws of Chen-Lee-Liu Equation |
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| Abstract: | With the classical symmetries method,we set up the Lie point symmetries of the Chen-Lee-Liu equation.And we demonstrate that it is strictly self-adjoint.Based on the symmetries and the adjoint equations,we derive the conserved vectors of the Chen-Lee-Liu equation.We find two conservation laws corresponding to the symmetries(translation in t and translation in x) and other symmetries provide trivial conservation law. |
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| Keywords: | Chen-Lee-Liu equation nonlinear self-adjointness conservation laws |
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