funded by the National Natural Science Foundation of China(Grant Nos.12371256&11971475)。
In this paper,two different methods for calculating the conservation laws are used,these are the direct construction of conservation laws and the conservation theorem proposed by Ibragimov.Using these two methods,we o...
Project supported by the National Natural Science Foundation of China (Grant Nos.12275172 and 11905124)。
This paper studies the(2+1)-dimensional Hirota-Satsuma-Ito equation.Based on an associated Hirota bilinear form,lump-type solution,two types of interaction solutions,and breather wave solution of the(2+1)-dimensional ...
This work was supported by the National Natural Science Foundation of China(Grant No.11505090);Research Award Foundation for Outstanding Young Scientists of Shandong Province(Grant No.BS2015SF009);the Doctoral Foundation of Liaocheng University(Grant No.318051413);Liaocheng University Level Science and Technology Research Fund(Grant No.318012018);Discipline with Strong Characteristics of Liaocheng University–Intelligent Science and Technology(Grant No.319462208).
This article investigates the Hirota-Satsuma-Ito equation with variable coefficient using the Hirota bilinear method and the long wave limit method.The equation is proved to be Painlevé integrable by Painlevé analys...
The paper investigates the multiple rogue wave solutions associated with the generalized Hirota-Satsuma-Ito(HSI)equation and the newly proposed extended(3+1)-dimensional Jimbo-Miwa(JM)equation with the help of a symbo...
In this paper,the(G′/G)-expansion method has been applied to explore new solitary wave solutions for the time fractional generalized Hirota-Satsuma coupled KdV(FGHSC KdV)system.The fractional derivative is described ...
Abundant exact interaction solutions, including lump-soliton, lump-kink, and lump-periodic solutions, are computed for the Hirota-Satsuma-Ito equation in (2+1)-dimensions, through conducting symbolic computations with...
In this article,two different methods,namely sub-equation method and residual power series method,have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations,whic...