WATER_WAVE

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CTE Solvability, Nonlocal Symmetries and Exact Solutions of Dispersive Water Wave System被引量：8
《Communications in Theoretical Physics》2014年第5期545-550,共6页陈春丽 楼森岳 
Supported by the National Natural Science Foundations of China under Grant Nos.11175092,11275123,11205092,and 10905038;Talent Fund;K.C.Wong Magna Fund in Ningbo University
A consistent tanh expansion （CTE） method is developed for the dispersion water wave （DWW） system. For the CTE solvable DlVVC system, there are two branches related to tanh expansion, the main branch is consistent ...
关键词：consistent tanh expansion dispersion water wave （DWW） system nonlocal symmetries the con-sistent Riccati expansion 
Nonclassical Symmetries for Nonlinear Partial Differential Equations via Compatibility被引量：8
《Communications in Theoretical Physics》2011年第10期611-616,共6页Mostafa F.El-Sabbagh Ahmad T.Ali 
The determining equations for the nonclassical symmetry reductions of nonlinear partial differential equations with arbitrary order can be obtained by requiring the compatibility between the original equations and the...
关键词：nonclassical symmetriesm compatibility （2＋ 1）-dimensional shallow water wave Boussinesq equa-tions and the dispersive wave equations in shallow water 
Complex Wave Solutions for (2+1)-Dimensional Modified Dispersive Water Wave System被引量：1
《Communications in Theoretical Physics》2009年第7期17-22,共6页LIANG Jin-Fu GONG Lun-Xun 
Supported by Science and Technology Foundation of Guizhou Province under Grant No.20072009
The extended Riccati mapping approach^[1] is further improved by generalized Riccati equation, and combine it with variable separation method, abundant new exact complex solutions for the （2＋1）-dimensional modified...
关键词：MDWW system generalized Riccati equation variable separation method complex wave 
Solitary Wave and Non-traveling Wave Solutions to Two Nonlinear Evolution Equations被引量：6
《Communications in Theoretical Physics》2005年第3X期479-482,共4页YAN Zhi-Lian LIU Xi-Qiang 
山东省自然科学基金
By applying the extended homogeneous balance method, we find some new explicit solutions to two nonlinear evolution equations, which include n-resonance plane solitary wave and non-traveling wave solutions.
关键词：approximate equations for long water waves variant Boussinesq equations non-traveling wave solution solitary wave solution 
Nonpropagating Solitons in （2＋1）-Dimensional Dispersive Long-Water Wave System被引量：5
《Communications in Theoretical Physics》2005年第2期245-250,共6页FANGJian-Ping ZHENGChun-Long LIUQing 
国家自然科学基金，浙江省自然科学基金
With the help of an extended mapping approach, a new type of variable separation excitation with three arbitrary functions of the (2+1)-dimensional dispersive long-water wave system (DLW) is derived. Based on the deri...
关键词：extended mapping approach DLW system localized excitation 
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