This paper studied the invariance of the Cauchy mean with respect to the arithmetic mean when the denominator functions satisfy certain conditions. The partial derivatives of Cauchy’s mean on the diagonal are obtaine...
supported by the National Natural Science Foundation of China(Grant No.11975196);partially by 20220355-SIP,IPN。
We first convert the angular Teukolsky equation under the special condition ofτ≠0,s≠0,m=0 into a confluent Heun differential equation(CHDE)by taking different function transformation and variable substitution.And t...
Project supported by the National Natural Science Foundation of China(Grant No.11975196);partially by SIP,Instituto Politecnico Nacional(IPN),Mexico(Grant No.20210414)。
We propose a new scheme to study the exact solutions of a class of hyperbolic potential well.We first apply different forms of function transformation and variable substitution to transform the Schrodinger equation in...
supported in part by NSFC under the Grant Nos.11975145 and 11972291。
A linear superposition is studied for Wronskian rational solutions to the Kd V equation,which include rogue wave solutions.It is proved that it is equivalent to a polynomial identity that an arbitrary linear combinati...
supported by the Research Grant of Kwangwoon University in 2018
In this paper, we derive five basic identities for Sheffer polynomials by using generalized Pascal functional and Wronskian matrices. Then we apply twelve basic identities for Sheffer polynomials, seven from previous ...
Supported by the Fundamental Research Funds for the Central Universities under Grant No.2018MS132
A generalized nonautonomous nonlinear equation, which describes the ultrashort optical pulse propagating in a nonlinear inhomogeneous fiber, is investigated. N-soliton solutions for such an equation are constructed an...
Supported by the National Natural Science Foundation of China under Grant No.11371326
The purpose of this paper is to introduce a class of generaJized nonlinear evolution equations, which can be widely applied to describing a variety of phenomena in nonlinear physical science. A KdV-type Wronskian form...