klein-gordon
Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation
... Abstract In this paper, the Lie approximate symmetry analysis is applied to investigate new exact solutions of the perturbed nonlinear Klein-Gordon equation. The nonlinear Klein-Gordon ...
10
Trigonometric Cubic B-spline Collocation Method for Solitons of the Klein-Gordon Equation
... Classical polynomial cubic B-spline collocation on a uniform mesh distribution was implemented to the some problems derived on the nonlinear Klein-Gordon equa- tion [25]. Zahra et al. [26] derived an ...
15
Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation
... Nonlinear phenomena that appear in many areas of scientific fields such as solid state physics, plasma physics, fluid dynamics, mathematical biology and chemical kinetics are modeled in terms of nonlinear partial ...
12
Upper semicontinuity of attractors for small perturbations of Klein Gordon Schrödinger lattice system
... Various properties of solutions for lattice dynamical systems (LDSs) have been exten- sively investigated. For example, the long time behavior of LDSs were studied in [, –]; the traveling wave solutions of LDSs were ...
16
Solving the fractional nonlinear Klein Gordon equation by means of the homotopy analysis method
... In this study, the homotopy analysis method with new strategies has been employed to obtain an approximate analytical solution of fractional nonlinear Klein-Gordon equations. It is quite important to notice ...
8
Existence and multiplicity of solutions for Klein–Gordon–Maxwell systems with sign changing potentials
... nonlinear Klein–Gordon equation cou- pled with Maxwell’s equation in the presence of a positive ...nonhomogeneous Klein–Gordon–Maxwell system were got by Chen and ...of ...
11
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 ...
16
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 ...
18
Bound States of the Klein Gordon for Exponential Type Potentials in D Dimensions
... of the s-Wave Klein-Gordon Equation for the General- ized Hulthén Potential by the Asymptotic Iteration Method,” Physica Scripta, Vol. 78, 2008, pp. 015011-4; [22] C. S. Jia, J. Y. Liu and P. Q. Wang, “A ...
14
Exact solution of nonlinear Klein-Gordon equations with quadratic nonlinearity by modified Adomian decomposition method
... solutions by ADM and Talor Matrix method obtained from the Telegraph equations that de- scribes wave propagation in electric signal in cable transmission and Klein-Gordon equation. [16] applied the ...
10
Existence and blowup of solutions for the modified Klein Gordon Zakharov equations for plasmas with a quantum correction
... interaction between Langmuir waves and ion sound waves in a plasma [, ]. Some exis- tence and uniqueness of global solutions under different conditions were investigated by many researchers [, –], as well as the ...
23
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 different ...
11
Numerical Solution of the Nonlinear Klein Gordon Equation Using Multiquadric Quasi interpolation Scheme
... MQ quasi-interpolation scheme is constructed directly from linear combination of MQ basis and approximated function. Three univariate MQ quasi-interpolations namely, L A , L B and L C were introduced by Beatson and ...
10
Infinitely many solutions for nonlinear Klein–Gordon–Maxwell system with general nonlinearity
... arises in a very interesting physical context: as a model describing the nonlinear Klein– Gordon field interacting with the electromagnetic field. More specifically, it represents a standing wave ψ = u(x)e iωt ...
10
Nonexistence and existence of nontrivial solutions for Klein–Gordon–Maxwell systems with competing nonlinearities
... fractional p-Laplacian setting and also solved the above open problems mentioned in [26]. As far as we know, there are few results about Klein–Gordon–Maxwell systems with similar competing nonlinearities to ...
13
Numerical Solution of Nonlinear Klein Gordon Equation Using Lattice Boltzmann Method
... proposed to solve 1D nonlinear Klein-Gordon equation. The efficiency and accuracy of the proposed model are validated through detail numerical simulation with quadratic and cubic nonlinearity. It can be ...
7
Sharp energy criteria of blow up for the energy critical Klein Gordon equation
... It is well known that the scaling invariance brings about a lot of algebraic or geometric structures and simplifications, which are significant to analyze the nonlinear waves (see [, , ]). The nonlinear ...
9
Orbital Stability of Solitary Waves for Generalized Klein Gordon Schrodinger Equations
... Orbital Stability of Solitary Waves for Generalized Klein-Gordon-Schrödinger Equations Wenhui Qi, Guoguang Lin School of Mathematics and Statistic, Yunnan University, Kunming, China E-ma[r] ...
6
A singularity theorem for Einstein-Klein-Gordon theory
... Hawking’s singularity theorem concerns matter obeying the strong energy condition (SEC), which means that all observers experience a nonnegative effective energy den- sity (EED), thereby guaranteeing the timelike ...
25
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 ...
16