Symmetry Reductions, Exact Solutions and Conservation Laws of Asymmetric Nizhnik-Novikov-V

Symmetry Reductions, Exact Solutions and Conservation Laws of Asymmetric Nizhnik-Novikov-Veselov Equation

ZHANG Li-Hua;WANG Ling;LIU Xi-Qiang;DONG Zhong-Zhou;BAI Cheng-Lin;LIU Xi-Qiang

【期刊名称】《理论物理通讯（英文版）》 【年(卷),期】2008(049)001

【摘要】By applying a direct symmetry method, we get the symmetry of the asymmetric Nizhnik-Novikov-Veselov equation (ANNV). Taking the special case, we have a finite-dimensional symmetry. By using the equivalent vector of the symmetry, we construct an eight-dimensional symmetry algebra and get the optimal system of group-invariant solutions. To every case of the optimal system, we reduce the ANNV equation and obtain some solutions to the reduced equations. Furthermore, we find some new explicit solutions of the ANNV equation. At last, we give the conservation laws of the ANNV equation. 【总页数】8页(1-8) 【关键词】

【作者】ZHANG Li-Hua;WANG Ling;LIU Xi-Qiang;DONG Zhong-Zhou;BAI Cheng-Lin;LIU Xi-Qiang

【作者单位】Department of Mathematics, Dezhou University, Dezhou 253023, China;Department of Mathematics and Computer Science,

Chizhou University, Chizhou 247000, China;School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China;Software Engineering Institute, East China Normal University, Shanghai 200062, China;School of Physical Science and Information Engineering, Liaocheng University, Liaocheng 252059, China;School of Mathematics Sciences, Liaocheng University, Liaocheng 252059, China 【正文语种】中文 【中图分类】 【相关文献】

以上内容为文献基本信息，获取文献全文请下载