This paper considers the existence of solitary-wave solutions of the classical water-wave problem in the presence of surface tension. A region of Bond number-Froude number parameter space close toâ€¦ (More)

This paper uses the special Cosserat theory of hyperelastic shells satisfying Kirchoff's hypothesis and irrotational flow theory to model the interaction between a heavy thin elastic sheet and anâ€¦ (More)

This is a further study of the set of homoclinic solutions (i.e. non-zero solutions asymptotic to 0 as jxj ! 1) of the reversible Hamiltonian system u iv + P u 00 + u ? u 2 = 0: () The presentâ€¦ (More)

A formulationof the classical hydrodynamicproblem of periodic waves on the free-surface of an innnitely deep, irrotational ow, which moves steadily under the innuence of gravity and possibly surfaceâ€¦ (More)

(1) ut = Auxx + f(u), u âˆˆ R , x âˆˆ R, t âˆˆ [0,âˆž), where A is a real, positive-definite, N Ã— N matrix and f : R â†’ R is a continuously differentiable nonlinear function. The vector u may represent, forâ€¦ (More)

Suppose that K is a cone in a real Hilbert space H with K ? = f0g and that A : H ! H is a self-adjoint operator which maps K into itself. If kAk is an eigenvalue of A, it is shown that it has anâ€¦ (More)