Boyer Finley equation and systems of hydrodynamic type
نویسندگان
چکیده
منابع مشابه
Method of group foliation, hodograph transformation and non-invariant solutions of the Boyer-Finley equation
We present the method of group foliation for constructing non-invariant solutions of partial differential equations on an important example of the Boyer-Finley equation from the theory of gravitational instantons. We show that the commutativity constraint for a pair of invariant differential operators leads to a set of non-invariant solutions of this equation. In the second part of the paper we...
متن کاملthe investigation of the relationship between type a and type b personalities and quality of translation
چکیده ندارد.
Integrability of the Egorov hydrodynamic type systems
Integrability criterion for the Egorov hydrodynamic type systems is presented. The general solution by the generalized hodograph method is found. Examples are given. A description of three orthogonal curvilinear coordinate nets is discussed from the viewpoint of reciprocal transformations. In honour of Sergey Tsarev
متن کاملBihamiltonian Systems of Hydrodynamic Type and Reciprocal Transformations
We prove that under certain linear reciprocal transformation, an evolutionary PDE of hydrodynamic type that admits a bihamiltonian structure is transformed to a system of the same type which is still bihamiltonian. Mathematics Subject Classification (2000). 37K25; 37K10.
متن کاملReciprocal transformations and local Hamiltonian structures of hydrodynamic type systems
We start from a hyperbolic DN hydrodynamic type system of dimension n which possesses Riemann invariants and we settle the necessary conditions on the conservation laws in the reciprocal transformation so that, after such a transformation of the independent variables, one of the metrics associated to the initial system be flat. We prove the following statement: let n ≥ 3 in the case of reciproc...
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: Classical and Quantum Gravity
سال: 2002
ISSN: 0264-9381
DOI: 10.1088/0264-9381/19/24/101