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Asymptotic decay for a one-dimensional nonlinear wave equation
one-dimensional nonlinear wave equation math
2010/11/9
We consider the asymptotic behaviour of finite energy solutions to the one-dimensional defocusing nonlinear wave equation $-u_{tt} + u_{xx} = |u|^{p-1} u$, where $p > 1$. Standard energy methods guar...
Multisymplectic Structure and Multisymplectic Scheme for the Nonlinear Wave Equation
multisymplectic structure multisymplectic schemes
2007/12/11
The multisymplectic structure of the nonlinear wave wquation is derived directly from the variational principle. In the numerical aspect, we present a multisymplectic nine points scheme which is equiv...