The interaction of interfacial solitary waves of algebraic type is investigated on the basis of a higherorder Benjamin-Ono equation. By developing a multisoliton perturbation theory, we show analytically that the overtaking collision between two solitary waves exhibits the phase shift but the amplitudes are not altered after interaction. The predication of the phase shift that takes place betwe...

In this paper, we investigate the transverse linear instability of one-dimensional solitary wave solutions of the coupled system of two-dimensional long-wave-short-wave interaction equations. We show that the one-dimensional solitary waves are linearly unstable to perturbations in the transverse direction if the coefficient of the term associated with transverse effects is negative. This transv...

Neurofibroma is a benign neoplasm of the peripheral nerve, which occurs as multiple tumours in neurofibromatosis type 1 (NF1) or as a solitary tumour with no association with NF1. Malignant change is sometimes reported in neurofibroma in NF1, but there are few reports of malignant transformation of solitary neurofibroma. We report here a case of malignant change in a solitary sclerotic neurofib...

We studied the clinical, radioisotopic, and pathologic characteristics and the incidence of cancer in clinically solitary cold nodules of the thyroid in an iodinedeficient area. The study included retrospective analysis of 765 patients who underwent thyroidectomy for a clinically single cold nodule in a ten-year period. We compared the pathological findings with clinical data. In pathologic...

Solitary bees (Hymenoptera: Apoidea) are endangered by extinction. Furthermore they are highly suited for nature conservancy indication purposes. Nevertheless their appearence in development and ecological planning tasks is quite seldom due to their diicult classii-cation. Our approach to classiication of solitary bees is based on two ideas: (1) to use only the veining of the wings for discrimi...

Solitary fibrous tumor of the pleura is one of the uncommon diseases. About 40% of solitary fibrous tumors of the pleura are of a visceral and peduncled type. Several visceral pleural tumors have motility. A proof of motility of the intrathoracic tumor is useful for preoperative diagnosis. We report a resected case of solitary fibrous tumor of the pleura presenting dry cough induced by postural...

Abstract In this paper, other types of exact solution of a first-order nonlinear ordinary differential equation is further investigated. By using the solutions of this equation, and a new general ansatz, we give some types of solutions of a class of nonlinear partial differential equations and MKdV equation. These solutions includes solitary wave solutions, singulary solitary solitary solutions...

Abstract. We prove the existence of a new type of solutions to a nonlinear Schrödinger system. These solutions, which we callmulti-speeds solitary waves, are behaving at large time as a couple of scalar solitary waves traveling at different speeds. The proof relies on the construction of approximations of the multi-speeds solitary waves by solving the system backwards in time and using energy m...

Solitary plasmacytomas are usually lytic and expansile and present in the ilium or long bones because of local pain or swelling [1]. Peripheral neuropathy can occur, probably secondary to a neurotoxic substance secreted by the neoplastic plasma cells [2]. Solitary sclerotic plasmacytomas are quite unusual and unreported in the sacrum. This report describes two cases of solitary nonmass-producin...

The homotopy analysis method is used to find a family of solitary smooth hump solutions of the Camassa–Holm equation. This approximate solution, which is obtained as a series of exponentials, agrees well with the known exact solution. This paper complements the work of Wu & Liao [Wu W, Liao S. Solving solitary waves with discontinuity by means of the homotopy analysis method. Chaos, Solitons & ...