Solitary and Periodic Waves of a New Kind

• Published in: Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences Vol. 354; no. 1713; pp. 1775 - 1806
• Main Author: Benjamin, Thomas Brooke
• Format: Journal Article
• Language: English
• Published: London The Royal Society 15.07.1996
• Subjects: Approximation; Eigenfunctions; Eigenvalues; Existence theorems; Fourier transformations; Linear transformations; Nontrivial solutions; Perturbation theory; Solitons; Waves

Various aspects of an unusual evolutionary equation are analysed. This pseudo-differential equation arises as an approximate model for nonlinear dispersive waves in a two-fluid system where the interface is subject to capillarity and the depth of the upper fluid is much smaller than the depth of the...