14 citations
9 papers
The Cosmological Arrow of Time and the Retarded Potentials
Alla Yurova, Artyom Yurov, Valerian Yurov
We demonstrate that the cosmological arrow of time is the cause for the arrow of time associated with the retarded radiation. This implies that the proposed mathematical model serv…
The Cauchy problem for the generalized hyperbolic Novikov-Veselov equation via the Moutard symmetries
Alla Yurova, Artyom Yurov, Valerian Yurov
We begin by introducing a new procedure for construction of the exact solutions to Cauchy problem of the real-valued (hyperbolic) Novikov-Veselov equation which is based on the Mou…
What can the anthropic principle tell us about the future of the dark energy universe?
A. A. Yurova, A. V. Yurov, V. A. Yurov
An anthropic explanation for evident smallness of the value of the dark energy implies the existence of a time-dependent component of the scalar field, serving, together with a neg…
A hidden life of Peregrine's soliton: rouge waves in the oceanic depths
Alla Yurova
Although the Peregrine-type solutions of the nonlinear Schödinger equation have long been associated mainly with the infamous "rouge waves" on the surface of the ocean, they might…
One method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid
A. V. Yurov, A. A. Yurova
We propose a simple algebraic method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid. The problem reduces to consecutively…
Generalized Fubini instantons
A. A. Yurova, A. V. Yurov
We show that nonlinear Klein-Gordon equation with negative coupling admits an exact solution which appears to be the linear superposition of the plane wave and the nonsingu…