搜索结果: 1-15 共查到“物理学 Differential equations”相关记录18条 . 查询时间(0.072 秒)
Solving Linear Differential Equations: A Novel Approach
Linear Differential Equations Novel Approach Mathematical Physics
font style='font-size:12px;'>
2012/5/24
We explicate a procedure to solve general linear differential equations, which connects the desired solutions to monomials x^m of an appropriate degree m. In the process the underlying symmetry of the...
Fractional Integro-Differential Equations for Electromagnetic Waves in Dielectric Media
Fractional integro-differentiation fractional damping universal response electromagnetic field dielectric medium
font style='font-size:12px;'>
2011/9/23
Abstract: We prove that the electromagnetic fields in dielectric media whose susceptibility follows a fractional power-law dependence in a wide frequency range can be described by differential equatio...
Exact polynomial solutions of second order differential equations and their applications
Polynomial solutions Bethe ansatz Quasi-exactly solvable systems
font style='font-size:12px;'>
2011/9/21
Abstract: We find all polynomials $Z(z)$ such that the differential equation $${X(z)\frac{d^2}{dz^2}+Y(z)\frac{d}{dz}+Z(z)}S(z)=0,$$ where $X(z), Y(z), Z(z)$ are polynomials of degree at most 4, 3, 2 ...
Applications of local fractional calculus to engineering in fractal time-space: Local fractional differential equations with local fractional derivative
local fractional calculus fractal time-space local fractional derivative local fractional differential equation
font style='font-size:12px;'>
2011/7/26
Abstract: This paper presents a better approach to model an engineering problem in fractal-time space based on local fractional calculus. Some examples are given to elucidate to establish governing eq...
Quantum algorithms for solving linear differential equations
Quantum algorithms solving linear differential equations
font style='font-size:12px;'>
2010/11/5
Linear differential equations are ubiquitous in science and engineering. Quantum computers can simulate quantum systems, which are described by homogeneous linear differential equations that produce o...
Physical applications of second-order linear differential equations that admit polynomial solutions
Criteria for polynomial solutions Asymptotic iteration method Confluent Heun equation Bicon-fluent Heun equation General Heun equation Davidson potential Exactly solvable differential equations
font style='font-size:12px;'>
2010/10/21
to have polynomial solutions are given. Several application of these results to Schr¨odinger’s equation are discussed. Conditions under which the confluent, biconfluent, and the general Heun equation ...
Special Conditional Similarity Reduction Solutions for Two Nonlinear Partial Differential Equations
conditional similarity reduction (2+1)-dimensional modified Broer-Kaup equations
font style='font-size:12px;'>
2007/8/15
2007Vol.48No.2pp.199-204DOI:
Special Conditional Similarity Reduction Solutions for Two Nonlinear Partial Differential Equations
MA Zheng-Yi
Department of Mathematics, Z...
Bäcklund Transformation
and Similarity Reductions of Nonlinear Partial Differential Equations
Using Extended Homogeneous Balance Method
extended homogeneous balance method
Bä cklund transformation similarity reduction
font style='font-size:12px;'>
2007/8/15
2001Vol.35No.5pp.523-526DOI:
Bäcklund Transformation
and Similarity Reductions of Nonlinear Partial Differential Equations
Using Extended Homogeneous Balance Method
FAN En-...
An Effective Method for Seeking Conservation Laws
of Partial Differential Equations
conservation law partial differential equation adjoint symmetry
font style='font-size:12px;'>
2007/8/15
2006Vol.46No.1pp.21-22DOI:
An Effective Method for Seeking Conservation Laws
of Partial Differential Equations
QIN Mao-Chang,1 MEI Feng-Xiang,2 and FAN Gui-Hong3
1 Scien...
On Differential Equations Describing 3-Dimensional Hyperbolic Spaces
(2+1)-dimensional integrable systems differential
equations describing 3-dimensional hyperbolic spaces conservation laws
font style='font-size:12px;'>
2007/8/15
2006Vol.45No.1pp.135-142DOI:
On Differential Equations Describing 3-Dimensional Hyperbolic Spaces
WU Jun-Yi,1 DING Qing,1,2 and Keti Tenenblat3
1 Institute of Mathematic...
An Algebraic Method for Constructing Exact Solutions
to Difference-Differential Equations
difference differential equation soliton solutions exact solutions discrete
KdV equation Ablowitz-Ladik lattice equations
font style='font-size:12px;'>
2007/8/15
2006Vol.45No.2pp.211-218DOI:
An Algebraic Method for Constructing Exact Solutions
to Difference-Differential Equations
WANG Zhen and ZHANG Hong-Qing
Department of Appli...
Conservation Laws of Differential Equations in Finance
font style='font-size:12px;'>
2007/8/15
2005Vol.44No.6pp.967-968DOI:
Conservation Laws of Differential Equations in Finance
QIN Mao-Chang,1 MEI Feng-Xiang,2 and SHANG Mei2
1 School of Science, Chongqing Techno...
A Class of Traveling Wave Solutions to Some Nonlinear Partial Differential Equations
nonlinear partial differential equations traveling wave
solutions function transformation
font style='font-size:12px;'>
2007/8/15
2003Vol.40No.2pp.147-150DOI:
A Class of Traveling Wave Solutions to Some Nonlinear Partial Differential
Equations
BAI Cheng-Lin
Department of Communication Engineering,...
An Extension of Mapping Deformation Method and New Exact Solution for Three Coupled Nonlinear Partial
Differential Equations
coupled nonlinear partial differential equations cubic nonlinear Klein-Gordon equation exact solution
font style='font-size:12px;'>
2007/8/15
2003Vol.39No.4pp.395-400DOI:
An Extension of Mapping Deformation Method and New Exact Solution for Three Coupled Nonlinear Partial
Differential Equations
LI Hua-Mei
Col...
An Extended Method for Constructing Travelling Wave Solutions to Nonlinear Partial Differential Equations
soliton solution asymmetric Nizhnik-Novikov-Vesselov equation coupled
Drinfel'd-Sokolov-Wilson equation
font style='font-size:12px;'>
2007/8/15
2005Vol.44No.3pp.407-414DOI:
An Extended Method for Constructing Travelling Wave Solutions to Nonlinear Partial Differential Equations
JIAO Xiao-Yu, WANG Jin-Huan, and ZHANG Hong-...