Abstract:
Smooth real finite-gap solutions of the Kaup–Boussinesq equation are found together
with simple reductions of the general smooth real two-gap and three-gap solutions
to one-dimensional theta functions. The Abelian integrals that occur in the solutions
are reduced to elliptic integrals.
Citation:
A. O. Smirnov, “Real finite-gap regular solutions of the Kaup–Boussinesq equation”, TMF, 66:1 (1986), 30–46; Theoret. and Math. Phys., 66:1 (1986), 19–31