Yushun wang , bin wang , zhongzhen ji , high order multisymplectic schemes for the nonlinear klein - gordon equation , applied mathematics and computation , to appear
2.
For the klein - gordon equation with nonlinear damping and source terms , our purpose is , first , to obtain the local existence theorem and the continuation principle with p 2 ( ( n - 1 ) / ( n - 2 ) )
3.
More precisely , we consider the existence time for a kind of the semilinear schrodinger equation , and the - existence of a solution of the initial boundary value problem for the klein - gordon equation with nonlinear damping and source terms
4.
In the second chapter , the traveling wave solution of klein - gordon equation has been obtained at first , then the asymptotic solution of klein - gordon equation with initial condition has been acquired , at last a kind of klein - gordon equation ' s stability has been discussed
5.
Chapter5 : the recently developed method of hyperbolic tangent function expansion is extended and new function transformation is applied to construct some new solitary solutions of kdv equation and klein - gordon equation and the jacobi elliptic function expansion method , which is advanced in 2001 , and the extended method of doubly jacobi function expansion are used to construct the exact solutions of a kind of nonlinear evolution equations