Nonlocal hydrodynamic type of equations
نویسندگان
چکیده
منابع مشابه
Equations of Hydrodynamic Type
The universal field equations introduced by the author and his collaborators, which admit infinitely many inequivalent Lagrangian formulations are shown to arise as consistency conditions for the existence of non-trivial solutions to the quasi-linear equations, called equations of hydrodynamic type by Novikov , Dubrovin and others. The solutions in closed form are only implicit. A method due to...
متن کاملNonlocal Hamiltonian operators of hydrodynamic type with flat metrics, integrable hierarchies and the equations of associativity
In this paper we solve the problem of describing all nonlocal Hamiltonian operators of hydrodynamic type with flat metrics and establish that this nontrivial special class of Hamiltonian operators is closely connected with the associativity equations of twodimensional topological quantum field theories and the theory of Frobenius manifolds. It is shown that the Hamiltonian operators of this cla...
متن کاملLax pairs for the equations describing compatible nonlocal Poisson brackets of hydrodynamic type, and integrable reductions of the Lamé equations
In the present work, the nonlinear equations for the general nonsingular pairs of compatible nonlocal Poisson brackets of hydrodynamic type are derived and the integrability of these equations by the method of inverse scattering problem is proved. For these equations, the Lax pairs with a spectral parameter are presented. Moreover, we demonstrate the integrability of the equations for some espe...
متن کاملCompacton-like solutions to some nonlocal hydrodynamic-type model
We study the appearance of compacton-like solutions within the hydrodynamic-type model taking into account effects of spatial non-locality PACS codes: 02.30.Jr; 47.50.Cd; 83.10.Gr
متن کاملRecursion Operators of Some Equations of Hydrodynamic Type
We give a general method for constructing recursion operators for some equations of hydrodynamic type, admitting a nonstandard Lax representation. We give several examples for N = 2 and N = 3 containing the equations of shallow water waves and its generalizations with their first two higher symmetries and their recursion operators. We also discuss a reduction of N + 1 systems to N systems of so...
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: Communications in Nonlinear Science and Numerical Simulation
سال: 2020
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2020.105242