Supported by the Fundamental Research Funds for Key Discipline Construction under Grant No.XZD201602;the Fundamental Research Funds for the Central Universities under Grant Nos.2015QNA53 and 2015XKQY14;the Fundamental Research Funds for Postdoctoral at the Key Laboratory of Gas and Fire Control for Coal Mines;the General Financial Grant from the China Postdoctoral Science Foundation under Grant No.2015M570498;Natural Sciences Foundation of China under Grant No.11301527
In this paper, the time fractional Fordy–Gibbons equation is investigated with Riemann–Liouville derivative. The equation can be reduced to the Caudrey–Dodd–Gibbon equation, Savada–Kotera equation and the Kaup–K...
Supported by the National Natural Science Foundation of China under Grant Nos.11075055,11275072;Innovative Research Team Program of the National Science Foundation of China under Grant No.61021104;National High Technology Research and Development Program under Grant No.2011AA010101;Shanghai Knowledge Service Platform for Trustworthy Internet of Things under Grant No.ZF1213;Talent Fund;K.C.Wong Magna Fund in Ningbo University
Two Darboux transformations of the(2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawaka(CDGKS)equation and(2+1)-dimensional modified Korteweg-de Vries(mKdV) equation are constructed through the Darboux matrix method...
Supported the Natural Science Foundation of Guangdong Province of China under Grant No.10151200501000008; the Special Foundation of Talent Engineering of Guangdong Province;the Scientific Research Foundation of Key Discipline of Guangdong Shaoguan University under Grant No.KZ2009001;the Natural Science Foundation of Zhejiang Province of China under Grant Nos.Y604106 and Y606181;the Foundation of New Century "151 Talent Engineering" of Zhejiang Province
In the paper, the variable separation approach, homoclinic test technique and bilinear method are successfullyextended to a (1+1)-dimensional Caudry-Dodd-Gibbon-Sawada-Kortera (CDGSK) system, respectively.Basedon the ...
Supported by the Natural Key Basic Research Project of China under Grant No. 2004CB318000;the 'Math + X' Key Project and Science Foundation of Dalian University of Technology under Grant No. SFDUT0808
With the aid of symbolic computation, we present the symmetry transformations of the (2+1)-dimensionalCaudrey-Dodd Gibbon-Kotera-Sawada equation with Lou's direct method that is based on Lax pairs. Moreover, withthe s...