supported by the National Natural Science Foundation of China(Grant Nos.11675055,11175092,and 11205092);the Program from Shanghai Knowledge Service Platform for Trustworthy Internet of Things(Grant No.ZF1213);K C Wong Magna Fund in Ningbo University
For a given truncated Painleve′ expansion of an arbitrary nonlinear Painleve′ integrable system, the residue with respect to the singularity manifold is known as a nonlocal symmetry, called the residual symmetry, wh...
supported by the National Natural Science Foundation of China(Grant Nos.11275123,11175092,11475052,and 11435005);the Shanghai Knowledge Service Platform for Trustworthy Internet of Things,China(Grant No.ZF1213);the Talent Fund and K C Wong Magna Fund in Ningbo University,China
The formal series symmetry approach (FSSA), a quite powerful and straightforward method to establish infinitely many generalized symmetries of classical integrable systems, has been successfully extended in the supe...
Supported by the National Natural Science Foundation of China(11175092);Zhejiang Provincial Natural Science Foundation(R6090717);Ningbo Natural Science Foundation(2009B21003,2010A610103,2010A610095)
Supported by the National Natural Science Foundation of China(11175092);Zhejiang Provincial Natural Science Foundation(R6090717);National Science Foundation of Ningbo(2009B21003,2010A610103,2010A610095)
Project supported by the National Natural Science Foundation of China (Grant No. 11175092);the Scientific Research Fund of Education Department of Zhejiang Province of China (Grant No. Y201017148);K. C. Wong Magna Fund in Ningbo University
In this paper, the finite symmetry transformation group of the (2+1)-dimensional coupled Burgers equation is studied by the modified direct method, and with the help of the truncated Painleve′ expansion approach, ...
Project supported by the National Natural Science Foundation of China(Grant No.11175092);Scientific Research Fund of Zhejiang Provincial Education Department(Grant No.Y201017148);K.C.Wong Magna Fund in Ningbo University
It is difficult to obtain exact solutions of the nonlinear partial differential equations (PDEs) due to their complexity and nonlinearity, especially for non-integrable systems. In this paper, some reasonable approx...
Project supported by the National Natural Science Foundation of China (Nos.10735030,11175092);the National Basic Research Program of China (Nos.2007CB814800,2005CB422301);K.C.Wong Magna Fund in Ningbo University
By applying the fermionization approach, the inverse version of the bosoniza- tion approach, to the Sharma-Tasso-Olver (STO) equation, three simple supersymmetric extensions of the STO equation are obtained from the...