Splitting local artificial boundary conditions for coupled sine-Gordon equations on unbounded domains
This paper aims to study the numerical solution of the coupled sine-Gordon equations on an unbounded domain,which is widely applied in plasma physics.The unboundedness of the physical domain and the nonlinearity of the equations make it challenging to derive the numerical solution.Employing the artificial boundary method and the operator splitting approach to overcome the unboundedness and nonlinearity,the splitting local artificial boundary method was established for the coupled sine-Gordon equations.The Cauchy problem was reduced into an initial boundary value problem on a bounded computational domain,which can be efficiently solved by the finite difference method.The accuracy and effectiveness of the proposed method were demonstrated by some numerical results,and the propagation of solitons was simulated.
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