Klein-Gordon Equations
SOLVING LINEAR AND NONLINEAR KLEIN-GORDON EQUATIONS BY NEW PERTURBATION ITERATION TRANSFORM METHOD
... The recently derived Perturbation Iteration Transform Method is applied to Linear and Nonlinear Klein-Gordon Equations for the first time. The theory is first developed and then applied to five ...
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Decay of solutions of a system of nonlinear Klein Gordon equations
... UoX,t, VoX,t be solutions of the free Klein-Gordon equations ] vo +oav o =0 respectively with initial data at time t=0 so that.. The proof is done by induction.[r] ...
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ADOMIAN POLYNOMIAL AND ELZAKI TRANSFORM METHOD FOR SOLVING KLEIN GORDON EQUATIONS
... The structure of this paper is organized as follows: Section 2 contains the basic definitions and the properties of the proposed method. Section 3 shows the theoretical approach of the proposed method on ...
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Exact solution of nonlinear Klein-Gordon equations with quadratic nonlinearity by modified Adomian decomposition method
... is the laplacian of u. Equation (1) and the given initial values is a generalised three-dimensional case of NK-GE. The nonlinear term g(u) could be a polynomial function in u or any other function. In application, the ...
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SEARCHING SOLITON SOLUTIONS TO THE BURGER-HUXLEY AND THE KLEIN GORDON EQUATIONS
... The laws of nature inherently are nonlinear [20]. Partial differential equations are the basis of all physical theorems and formulate basic laws of nature. Indeed, most of the complex phenomena such as motion, ...
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Solving the fractional nonlinear Klein Gordon equation by means of the homotopy analysis method
... Differential equations and nonlinear mechanics very recently, Song and Zhang [] solved the fractional KdV-Burgers-Kuramoto equation us- ing ...differential equations of fractional or- der using ...the ...
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Analytical solutions for the fractional Klein-Gordon equation
... using variational method and finite element approach. Appl. Math. Comput., 162 (2005) 381-401. [12] E. Yusufoglu, Variational iteration method for construction of some compact and noncompact structures of ...
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Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... This paper extends the homotopy perturbation Sumudu transform method (HPSTM) to solve li- near and nonlinear fractional Klein-Gordon equations. To illustrate the reliability of the method, some ...
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RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... In this paper, the homotopy perturbation Sumudu transform method (HPSTM) is extended to solve linear and nonlinear fractional Klein-Gordon equations. To illustrate the reliability of the method, some ...
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Primary Assumptions and Guidance Laws in Wave Mechanics
... and/or Klein-Gordon equations the Guidance Laws piloting particles along well-defined ...energy-independent equations, on the other hand, may only give rise—both in SQM and in the Bohmian ...
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On Coupled Klein-Gordon-Schrödinger Equations with Acoustic Boundary Conditions
... 2 J.-B. Baillon and J. M. Chadam, “The Cauchy problem for the coupled Schr ¨odinger-Klein-Gordon equations,” in Contemporary Developments in Continuum Mechanics and Partial Di ff erential ...
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Non-equilibrium Quantum Brain Dynamics: Super-radiance and Equilibration in 2 1 Dimensions
... evolution equations, namely the Schrödinger-like equations and the Klein–Gordon equations for coherent fields and the Kadanoff–Baym (KB) equations for quantum fluctuations, in ...
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Bound States of the Klein Gordon for Exponential Type Potentials in D Dimensions
... Dirac equations have been solved in the presence of the Hulthén potential, where the energy spectrum and the scattering wave functions were obtained for spin-0 and spin- 1 2 particles, using a more general ...
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Trigonometric Cubic B-spline Collocation Method for Solitons of the Klein-Gordon Equation
... nonlinear Klein-gordon equation. Interaction of solitons of the Klein-Gordon equation was investigated in different aspects in various numerical studies ...the Klein-Gordon ...
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Lie Symmetries of Klein Gordon and Schrödinger Equations
... DOI: 10.4236/am.2018.93025 337 Applied Mathematics through potential as well as a metric guide in the equivalent equation; however, the dynamical variables are different. From every Lagrangian defining dynamical system, ...
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The radiation bound for a Klein Gordon field on a static spherical spacetime
... Many equations for physical fields are conformally invariant and th e stud y of th e behaviour of equations under conform al transform ations is also useful for m any m athem atical ...
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Surfaces of Constant Curvature in the Pseudo Galilean Space
... the Klein-Gordon partial differential ...the Klein-Gordon equation plays the analogous role in the pseudo-Galilean space as the sine-Gordon equation in Euclidean ...a ...
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Existence and multiplicity of solutions for Klein–Gordon–Maxwell systems with sign changing potentials
... A Klein–Gordon–Maxwell system arises in a very interesting physical context: a model describing the nonlinear Klein–Gordon field interacting with the electromagnetic field (for more details, see ...
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Random attractors for the stochastic damped Klein Gordon Schrödinger system
... In recent decades, much attention has been paid to the existence of random attractor for stochastic partial differential equations. To the authors’ knowledge, Crauel and Flandoli [] and Flandoli and Schmalfuß [] ...
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The General Analytical and Numerical Solution for the Nonlinear Klein-Gordon Equation
... Abstract – We investigate the analytical solutions of the nonlinear Klein-Gordon equation with cubic nonlinearity, by applying the idea of commutative hypercomplexmathematics. And also, we apply Bernstein ...
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