A brief review on the recent results of nonlinear differential-difference and difference equations toward its complete integrability and exact solvability is presented. In particular, we show how Lie's theory of
On Entire Solutions of Nonlinear Differential-difference Equations. Acta Mathematica Sinica, Chinese Series, 2022, 65(3): 435-446 https://doi.org/10.12386/A2022sxxb0035 Previous Article Next Article References [1] Bergweiler W., Langley J. K., Zeros of difference of meromorphic functions,...
一类微分–差分方程的整函数解The Entire Solutions of Certain Type of Nonlinear Difference Differential Equations-来源:理论数学(第2021005期)-汉斯出版社.pdf,Pure Mathematics 理论数学, 2021, 11(5), 903-908 Published Online May 2021 in Hans. /journal/pm /1
differential–difference equationauxiliary solvable equationJacobi elliptic function solutionKlein–Gordon equationdiscrete mKdV equationWe will propose a unified algebraic method to construct Jacobi elliptic function solutions to differential–difference equations (DDEs). The solutions to DDEs in terms of Jacobi...
We modified the truncated expansion method to construct the exact solutions for some nonlinear differential difference equations in mathematical physics via the general lattice equation, the discrete nonlinear Schrodinger with a saturable nonlinearity, the quintic discrete nonlinear Schrodinger equation, and ...
2) nonlinear difference-differential equation 非线性差分-微分方程 1. The new expansion algorithm of three Riccati equations is generalized to solve nonlinear difference-differential equation(s). 将三Riccati方程的新展开法应用于求解非线性差分-微分方程,借助符号计算系统Maple,得到了离散KdV方程和离散mKdV...
7.graphical analysis of nonlinear difference equation非线性差分方程的图示分析 8.Asymptotic Behavior and Stability of Solutions to Certain Nonlinear Difference Equations;一类非线性差分方程组解的渐近性与稳定性 9.nonlinear differential-difference equatio非线性微分差分方程 10.nonlinear finite difference equation...
In this paper, we investigate the non-existence of transcendental entire solutions for non-linear differential-difference equations of the forms fn(z)+Q(z,f)=β1eα1z+β2eα2z+⋯+βseαsz and fn(z)f(k)(z)+Ld(z,f)=∑i=1spi(z)eαi(z), where n, s are positive integers...
differential-differenceequations1. IntroductionSincetheworkofFermiandhisco-workersinthe1950s[29],findingexactsolutionsorgoodapproximationsofthenonlineardifferential-differenceequations(NDDEs)hasplayedanimportantroleinmodelingofcomplicatedphysicalphenomenasuchasparticlevibrationsin lattice,currentflowsinelectricalnetworks,...
The invertible point transformation is a powerful tool in the study of nonlinear differential and difference equations. This book gives a comprehensive introduction to this technique. Ordinary and partial differential equations are studied with this approach. The book also covers nonlinear difference equati...