[PDF] Top 20 Exact solutions and transformation properties of nonlinear partial differential equations from general relativity
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Exact solutions and transformation properties of nonlinear partial differential equations from general relativity
... -iiiABSTRACT Various families of exact solutions to the Einstein and Einstein-Maxwell field equations of General Relativity are treated for situations of sufficient symmetry that only tw[r] ... See full document
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Symmetry and double reduction for exact solutions of selected nonlinear partial differential equations
... General relativity theory plays an important role in many fields; for instance, general relativity theory as a backbone of quantum ...on general relativity theory exposes many ... See full document
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Differential transformation method for solving a neutral functional-differential equation with proportional delays
... the Differential Transformation Method (DTM) for finding the exact and approximate solutions of neutral functional-differential equations with proportional ...strongly ... See full document
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Plane Symmetric Solutions to the Nonlinear Spinor Field Equations in General Relativity Theory
... obtained exact plane-symmetric solutions to the gravitational, spinor and scalar field ...In general, they have proved that the choice of spinor field nonlinearity can lead to the elimination of ... See full document
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Exact solutions of two nonlinear partial differential equations by using the first integral method
... ential equations [] tells us that the general solutions of () can be obtained ...in general, it is very difficult even for a single first ...equation, exact solutions of () will ... See full document
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Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
... complex transformation to convert nonlinear partial fractional differential equations to nonlinear ordinary differential ...of exact solutions for some nonlinear ... See full document
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New explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method
... employed transformation wave, some nonlinear partial differential equations have been converted into an ...for equations with similar linear part, the researchers have earned the ... See full document
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A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... the exact so- lutions of nonlinear partial time-space differential equations of fractional ...complex transformation has been implemented to convert nonlinear ... See full document
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Classification of All Single Traveling Wave Solutions to (3 + 1) Dimensional Breaking Soliton Equation
... with nonlinear partial differential equations (PDEs), many methods have been de- ...wave solutions to some ...wave transformation and integrate ...ordinary differential ... See full document
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Painlev´e Analysis, Lax Pairs and New Analytic Solutions for a High-order Boussinesq-Burgers Equation
... the exact solutions for a given partial differential equation in the nonlinear science, such as the symmetry reduction, Homogeneous balance method [1], Hirota’s bilinear method [2,3], ... See full document
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NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS, THEIR SOLUTIONS, AND PROPERTIES
... its solutions before attempting quantitative ...generalized equations beyond the scope of the above general classes of di↵erential ...generalized equations arise as a result of a curiosity ... See full document
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Soliton-Like Spherical Symmetric Solutions of the Nonlinear Spinor Field equations in General Relativity
... obtained exact static spheric symmetric solutions of the nonlinear spinor and gravitational fields ...The nonlinear terms in the spinor lagrangian density characterize the self-interaction of ... See full document
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Soliton solution for nonlinear partial differential equations by the (G'/G )-expansion method and its applications
... more general exact solutions for four different types of nonlinear partial differential equations such as the modified regularized long wave equation, the improved ... See full document
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Exact Solitary Wave Solutions of the (3+1) Modified B-type Kadomtsev-Petviashvili Family Equations
... the equations considered, are interpreted as quantities which make it possible to characterize the propagation medium or the moving physical ...the properties of the physical system ...expected ... See full document
8
Speed of propagation for some models of two-phase flow in porous media
... balance equations and the multi-phase extension of Darcy’s law, de- rived, for example, using the representative elementary vol- ume approach [Bear , ...via nonlinear proportionality constants called the ... See full document
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Soliton solutions,Kink and antikink of the Gerdjikov-Ivanov equation
... various nonlinear equations that govern propagation of the wave ...the nonlinear partial differential equation (PDEs) are widely used to investigate exact solutions and ... See full document
9
On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations
... Examples In this section, we give some examples on our approach for reduction and finding solutions of nonlinear second order ordinary differential equations, these equations and more eq[r] ... See full document
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On slow oscillation and nonoscillation in retarded equations
... Oscillation, Nonoscillation and Growth of Solutions of Nonlinear Functional Differential Equations of Arbitrary Order, J.. Asymptotic Properties of Solutions of Functional Differential E[r] ... See full document
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Well Behaved Parametric Class of Exact Solutions of Einstein Maxwell Field Equations in General Relativity
... The above result has been supported by a physically reasonable charge spherical model of Bonnor [2], that a dust distribution of arbitrarily large mass and small ra- dius can remain in equilibrium against the pull of ... See full document
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Exact solutions for linear systems of local fractional partial differential equations
... fractional partial differen- tial ...obtaining exact solutions of linear systems of local fractional partial differential equa- ... See full document
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