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Caudrey-Dodd-Gibbon-Kotera-Sawada方程的对称、精确解和守恒律 被引量:6

Symmetries,exact solutions and conservation laws of Caudrey-Dodd-Gibbon-Kotera-Sawada equation
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摘要 应用改进的CK直接方法,得到了(2+1)维Caudrey-Dodd-Gibbon-Kotera-Sawada(CDGKS)方程的对称群定理。利用对称群理论和方程的旧解得到了该方程新的精确解,扩大了解的范围。最后根据对称和共轭方程求出了(2+1)维CDGKS方程的无穷多守恒律。 By using the improved CK’s method,the symmetry group theorem of(2+1)-dimensional Caudrey-Dodd -Gibbon-Kotera-Sawada equation is derived.Some new exact solutions of(2+1)-dimensional CDGKS equation are obtained by applying the theorem and given solutions,which expands the scope of solutions of CDGKS equation.Infinite conservation laws of(2+1)-dimensional CDGKS equation are also found by the symmetries and adjoint equation.
出处 《量子电子学报》 CAS CSCD 北大核心 2011年第4期385-390,共6页 Chinese Journal of Quantum Electronics
基金 国家自然科学基金与中物院联合基金资助项目(11076015) 山东省自然科学基金资助项目(2008A35)
关键词 (2+1)维CDGKS方程 改进的CK直接方法 精确解 守恒律 (2+1)-dimensional CDGKS equation; improved CK’s; exact solutions
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