On the Riemann-Hilbert transformations for a Galilean invariant system |
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| Authors: | Yoshimasa Nakamura |
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| Institution: | (1) Present address: Department of Mathematics, Faculty of Education, Gifu University, 501-11 Gifu, Japan |
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| Abstract: | Summary
As an application of the Riemann-Hilbert (RH) problem to mathematical physics, the RH transformations are considered for a Galilean invariant nonlinear system. Algebraic RH transformation gives rise to new solutions from the old via a calculation in linear algebra. It is proved that the infinitesimal RH transformations form an infinite-dimensional Lie algebra without using a hierarchy of potentials. |
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