Collective Coordinate Approach to the Dynamics of Various Soliton-Obstruction Systems

Various soliton-obstruction systems have been studied from analytical perspective. We have used collective coordinate to approach the dynamics of solitons as they meet a potential obstruction in a form of square barriers and holes for three models in (1+1) dimensions, namely: $\lambda\phi^{4}$ model, deformed Sine-Gordon model, and a model that give rise to Q-ball solution. We have shown that our approximated field solution is valid enough to describe the behaviour of solitons scattering off a potential obstruction.Comment: 26 pages, 18 figure

Advanced chronic obstructive pulmonary disease (COPD)

Chronic obstructive pulmonary disease (COPD) is one of the most common chronic diseases and the fourth cause of death in the world. Its advanced forms (severe - in case of FEV1 indicator below 50% of the norm and very severe — below 30%) usually lead to respiratory disability and premature death. The prognoses of those suffering from severe forms of COPD are no different from patients with lung cancer. The course of the disease is highly influenced by its exacerbation and co-morbidities, such as cardiovascular diseases, diabetes, lung cancer and peptic ulcer. Treatment aims at stopping the progress of disease, preventing its exacerbation and relieving tiresome symptoms, mainly dyspnoea, chronic cough and decreasing tolerance of effort.Chronic obstructive pulmonary disease (COPD) is one of the most common chronic diseases and the fourth cause of death in the world. Its advanced forms (severe - in case of FEV1 indicator below 50% of the norm and very severe - below 30%) usually lead to respiratory disability and premature death. The prognoses of those suffering from severe forms of COPD are no different from patients with lung cancer. The course of the disease is highly influenced by its exacerbation and co-morbidities, such as cardiovascular diseases, diabetes, lung cancer and peptic ulcer. Treatment aims at stopping the progress of disease, preventing its exacerbation and relieving tiresome symptoms, mainly dyspnoea, chronic cough and decreasing tolerance of effort