搜索结果: 1-15 共查到“理论物理学 Differential equations”相关记录17条 . 查询时间(0.037 秒)
Solving Linear Differential Equations: A Novel Approach
Linear Differential Equations Novel Approach Mathematical Physics
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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
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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
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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
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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...
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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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-...
Relationship Between Soliton-like Solutions and Soliton Solutions
to a Class of Nonlinear Partial Differential Equations
nonlinear partial differential equation doubly periodic solution
soliton solution
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2007/8/15
2005Vol.43No.6pp.969-974DOI:
Relationship Between Soliton-like Solutions and Soliton Solutions
to a Class of Nonlinear Partial Differential Equations
LIU Chun-Ping and LING Zhi
...