Non-Similarity Linear Wave Cloud Collapse Solutions
نویسندگان
چکیده
منابع مشابه
Envelope Expansion with Core Collapse. I. Spherical Isothermal Similarity Solutions
We investigate self-similar dynamical processes in an isothermal self-gravitational fluid with spherical symmetry. In reference to earlier complementary solution results of Larson, Penston, Shu, Hunter and Whitworth & Summers, we further explore the ‘semi-complete solution space’ from an initial instant t→ 0 to a final stage t→ +∞. These similarity solutions can describe and accommodate physica...
متن کاملSimilarity solutions and collapse in the attractive gross-pitaevskii equation
We analyze a generalized Gross-Pitaevskii (GP) equation involving a paraboloidal trap potential in D space dimensions and generalized to a nonlinearity of order 2n+1. For attractive coupling constants collapse of the particle density occurs for Dn>/=2 and typically to a delta function centered at the origin of the trap. By introducing a special variable for the spherically symmetric solutions, ...
متن کاملDifferential Transform Method to two-dimensional non-linear wave equation
In this paper, an analytic solution is presented using differential transform method (DTM) for a class of wave equation. The emphasis is on the nonlinear two-dimensional wave equation. The procedures introduced in this paper are in recursive forms which can be used to obtain the closed form of the solutions, if they are required. The method is tested on various examples, and the results reveal ...
متن کاملExact solitary wave solutions of non-linear evolution and wave equations using a direct algebraic method
We present a systematic and formal approach toward finding solitary wave solutions of non-linear evolution and wave equations f r cn the real exponential solutions of the underlying linear equations. The physical concept is one of the mixing of these elementary solutions through the non-linearities in the system. In the present paper the emphasis is, however, on the mathematical aspects, i.e. t...
متن کاملBifurcations of traveling wave solutions in a coupled non-linear wave equation
By using the theory of planar dynamical systems to a coupled non-linear wave equation, the existence of solitary wave solutions and uncountably infinite, many smooth and non-smooth, periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. 2003 Published by Elsevier Science Ltd.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 1970
ISSN: 0035-8711,1365-2966
DOI: 10.1093/mnras/148.4.455