Reciprocal gausson phenomena in a Korteweg capillarity system

Meccanica - Tập 54 - Trang 1515-1523 - 2019
Colin Rogers1
1School of Mathematics and Statistics, The University of New South Wales, Sydney, Australia

Tóm tắt

In previous work in the literature, a kinetic derivation of a logarithmic nonlinear Schrödinger equation incorporating a de Broglie–Bohm term has been obtained in a capillarity context. Here, gausson-type solutions are constructed for such an NLS model. A novel two-parameter class of reciprocal transformations is shown to leave the 1 + 1-dimensional Korteweg capillarity system invariant and is applied to generate reciprocal gausson solutions. Extension of these results to q-gaussons is presented.

Tài liệu tham khảo

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