7 citations · 16 across the 7 of their papers we have counts for
9 papers
Solitary-wave solutions of Benjamin-Ono and other systems for internal waves. II. Dynamics
Jerry Bona, Angel Duran, Dimitrios Mitsotakis
Considered here are two systems of equations modeling the two-way propagation of long-crested, long-wavelength internal waves along the interface of a two-layer system of fluids in…
The KdV equation on the half-line: Time-periodicity and mass transport
Jerry L. Bona, Jonatan Lenells
The work presented here emanates from questions arising from experimental observations of the propagation of surface water waves. The experiments in question featured a periodicall…
Norm-inflation results for the BBM equation
Jerry Bona, Mimi Dai
Considered here is the periodic initial-value probem for the regularized long-wave (BBM) equation \[u_t+u_x+uu_x-u_{xxt}=0.\] Adding to previous work in the literature, it is shown…
Higher-order Hamiltonian Model for Unidirectional Water Waves
J. L. Bona, X. Carvajal, M. Panthee +1
Formally second-order correct, mathematical descriptions of long-crested water waves propagating mainly in one direction are derived. These equations are analogous to the first-ord…
Nonhomogeneous Boundary-Value Problems for One-Dimensional Nonlinear Schrödinger Equations
Jerry L. Bona, Shu-Ming Sun, Bing-Yu Zhang
This paper is concerned with initial-boundary-value problems (IBVPs) for a class of nonlinear Schrödinger equations posed either on a half line or on a bounded inter…
Dispersive blow up for nonlinear Schroedinger equations revisited
Jerry L. Bona, Jean-Claude Saut, Gustavo Ponce +1
The possibility of finite-time, dispersive blow up for nonlinear equations of Schroedinger type is revisited. This mathematical phenomena is one of the possible explanations for oc…