Results 11 to 20 of about 101,253 (259)
On the Exact Solutions of Two (3+1)-Dimensional Nonlinear Differential Equations
Journal of Function Spaces, 2020 In this article, exact solutions of two (3+1)-dimensional nonlinear differential equations are derived by using the complex method. We change the (3+1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation and generalized shallow water (gSW) equation ...
Fanning Meng, Yongyi Gu
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Theoretical and Applied Mechanics Letters, 2022 Data-driven partial differential equation identification is a potential breakthrough to solve the lack of physical equations in complex dynamic systems.
Wenbo Cao, Weiwei Zhang
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Solving Higher Orders Linear Complex Partial Differential Equations via Two Dimensional Differential Transform Method [PDF]
مجلة جامعة الانبار للعلوم الصرفةComplex partial differential equation (CPDEs( appeared around the year 1900. D. Pompeiu was a famous mathematician who left a large impact in this field through introducing the Pompeiu integral operator, which forms a basis in the subject CDEs.
Amal Alhassan +2 more
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Limit Directions of Julia Sets of Entire Functions and Complex Differential Equations
Journal of Mathematics, 2023 The limiting directions of Julia sets of infinite order entire functions are studied by combining the theory of complex dynamic system and the theory of complex differential equations, in which the lower bound of the measure of limiting direction of ...
Zhigao Qin, Jianren Long, Xuxu Xiang
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On a complex differential Riccati equation [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many properties similar to those of the ordinary differential Riccati equation as, e.g., the famous Euler theorems, the Picard theorem and others.
Khmelnytskaya, Kira V. +1 more
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Malmquist-type theorems on some complex differential-difference equations
Open Mathematics, 2022 This article is devoted to study the existence conditions of solutions to several complex differential-difference equations. We obtain some Malmquist theorems related to complex differential-difference equations with a more general form than the previous
Xu Hong Yan, Li Hong, Yu Meiying
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Structure of complex linear differential equations [PDF]
Transactions of the American Mathematical Society, 1982 In this paper homogeneous linear differential equations in the complex domain are considered. Relations between (a) properties of the zeros of solutions, (b) factorization of the equation into linear factors, and (c) nonvanishing of corresponding Wronskians are proved.
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Theory of Hybrid Fractional Differential Equations with Complex Order [PDF]
Sahand Communications in Mathematical Analysis, 2019 We develop the theory of hybrid fractional differential equations with the complex order $thetain mathbb{C}$, $theta=m+ialpha ...
Devaraj Vivek +2 more
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Robust discovery of partial differential equations in complex situations
Physical Review Research, 2021 Data-driven discovery of partial differential equations (PDEs) has achieved considerable development in recent years. Several aspects of problems have been resolved by sparse regression-based and neural-network-based methods.
Hao Xu, Dongxiao Zhang
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Differential Equations on Complex Manifolds
, 2015 We discuss linear partial differential equations with constant coefficients on complex manifold Cn. Using the Sternin-Shatalov integral transform we solve complex Cauchy problem and consider two applications: describe the singularities of the solution of the Cauchy problem and solve a physical problem of sweeping the charge inside the domain (balayage ...
Savin Anton, Sternin Boris, Tie Jingzhi
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