This paper develops a simple model for pricing interest rate options. Analytical solutiorls are developed for European claims and extremely efficient algorithms exist for tile pricing of American opciolls. T h e interest rate claims are priced in the Heath-Jarrow-klorto~i paradigm, and hence illcorporate full information on the term structure. T h e volatility. structure for forward rates is hu...

For the generalized $p$-power Korteweg-de Vries equation, all non-periodic travelling wave solutions with non-zero boundary conditions are explicitly classified for integer powers $p\geq 1$. These shown to consist of: bright solitary waves and static humps on a background odd $p$; dark kink even $p$ in defocusing case; pairs of bright/dark background, also heavy-tail (with power decay) focusing...

Photometric humps in outburst that are locked with the binary orbital period have been observed exclusively in the early phase of outbursts of WZ Sge stars. It is suggested that this ”early hump” phenomenon is the manifestation of the tidal 2:1 resonance in accretion disks of binary systems with extremely low mass ratios. The ”early humps” can be understood by the two-armed spiral pattern of ti...