The evolution of solitary waves of the gBBM equation is investigated compu-tationally. The experiments connrm previously derived theoretical stability estimates and, more importantly, yield insights into their behavior. For example, highly energetic unstable solitary waves when perturbed are shown to evolve into several stable solitary waves.

PURPOSE Bone scans showing solitary hot spots in the ribs pose diagnostic problems in patients with proved extraskeletal cancers. The authors wanted to determine the importance of solitary rib lesions and their correlation with other clinical manifestations. MATERIALS AND METHODS The study included 199 patients with solitary rib hot spots on their bone scans. The follow-up radiographic and sc...

Nonlinear Schrödinger equations (NLSs) with focusing power nonlinearities have solitary wave solutions. The spectra of the linearized operators around these solitary waves are intimately connected to stability properties of the solitary waves and to the long-time dynamics of solutions of NLSs. We study these spectra in detail, both analytically and numerically.

Solitary plasmacytomas are tumors of plasma cell origin that constitute less than 10% of all plasma cell neoplasms. These tumors are categorized as extramedullary plasmacytomas (non-osseous) or solitary plasmacytomas of bone (osseous). Extramedullary plasmacytomas frequently remain localized and usually can be treated effectively with radiation therapy, whereas solitary plasmacytomas of bone fr...

Solitary fibrous tumors are neoplasms of mesenchymal origin that may occur virtually in any body part, most commonly arising from the pleura. Solitary fibrous tumor of the kidney is exceptionally rare, and limited clinical knowledge regarding its behavior makes prognosis of the neoplasm difficult. We report a case of solitary fibrous tumor of the left kidney and describe its clinical, imaging, ...

Solitary-wave solutions of a nonlinearly dispersive equation are considered. It is found that solitary waves are peaked or smooth waves, depending on the wave speed. The stability of the smooth solitary waves also depends on the wave speed. Orbital stability is proved for some wave speeds, while instability is proved for others.