In this pager a pure algebraic method implemented in a computer algebraic system, named multiple Riccati equations rational expansion method, is presented to construct a novel class of complexiton solutions to integra...In this pager a pure algebraic method implemented in a computer algebraic system, named multiple Riccati equations rational expansion method, is presented to construct a novel class of complexiton solutions to integrable equations and nonintegrable equations. By solving the （2＋1）-dimensional dispersive long wave equation, it obtains many new types of complexiton solutions such as various combination of trigonometric periodic and hyperbolic function solutions, various combination of trigonometric periodic and rational function solutions, various combination of hyperbolic and rationai function solutions, etc.展开更多
Rice is one of the most important staple food for over half of the world＇s population,and a substantial increase in productivity and quality of rice grain will be required to feed a growing human population.Grain siz...Rice is one of the most important staple food for over half of the world＇s population,and a substantial increase in productivity and quality of rice grain will be required to feed a growing human population.Grain size and shape are the two important components contributing to grain yield and quality,because they impact both yield potential and end-use quality.展开更多
基金Project supported by China Postdoctoral Science Foundation, Natural Science Foundation of Zhejiang Province of China （Grant No Y604056） and Ningbo Doctoral Foundation of China （Grant No 2005A610030）.The author would like to thank the helpful suggestions of the referee and Professor S. Y. Lou.
文摘In this pager a pure algebraic method implemented in a computer algebraic system, named multiple Riccati equations rational expansion method, is presented to construct a novel class of complexiton solutions to integrable equations and nonintegrable equations. By solving the （2＋1）-dimensional dispersive long wave equation, it obtains many new types of complexiton solutions such as various combination of trigonometric periodic and hyperbolic function solutions, various combination of trigonometric periodic and rational function solutions, various combination of hyperbolic and rationai function solutions, etc.
基金supported by grants from the National Natural Science Foundation of China (No.91635302)the National Key Research and Development Program of China (2016YFD0100401)+1 种基金the Chinese Academy of Sciences (XDA08010101)the State Key Laboratory of Plant Cell and Chromosome Engineering (PCCEKF-2017-04)
文摘Rice is one of the most important staple food for over half of the world＇s population,and a substantial increase in productivity and quality of rice grain will be required to feed a growing human population.Grain size and shape are the two important components contributing to grain yield and quality,because they impact both yield potential and end-use quality.
