An example of non-decreasing solution for the KdV equation posed on a bounded interval |
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Authors: | Gleb Germanovitch Doronin Fábio M Natali |
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Institution: | Departamento de Matemática, Universidade Estadual de Maringá, 87020-900, Maringá, PR, Brazil |
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Abstract: | An initial-boundary value problem for the KdV equation posed on a bounded interval is considered. The theory of Jacobi elliptic functions is used to obtain a new kind of stationary waves which are spatially periodic with a period equal to an interval length. The properties of those solutions are studied. |
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