Baecklund Transformations for the Initial Problems of Nizhnich and Nizhnich－Novikov－Veselov Equations  

作　　者：SUHong-Ling WANGMing-Liang QINMeng-Zhao 

机构地区：[1]StateKeyLaboratoryofScientificandEngineeringComputing.InstituteofComputationalMathematicsandScientific [2]MathematicalDepartment~LuoyangInstituteofTechnology,Luoyang471039,China [3]EngineeringComputing,AcademyofMathematicsandSystemScience,theChineseAcademyofSciences,Beijing100080,China

出　　处：《Communications in Theoretical Physics》2003年第1X期15-18,共4页理论物理通讯（英文版）

摘　　要：The homogeneous balance method is a method for solving genera/partial differential equations (PDEs). In this paper we solve a kind of initial problems of the PDEs by using the special Baecklund transformations of the initial problem. The basic Fourier transformation method and some variable-separation skill are used as auxiliaries. Two initial problems of Nizlmich and the Nizlanich-Novikov-Veselov equations are solved by using this approach.

关 键 词：BAECKLUND变换 初值问题 Nizhnich方程 Nizhnich-Novikov-Veselov方程 非线性偏微分方程 齐次平衡方法 

分 类 号：O175.29[理学—数学]