Results 1 to 10 of about 253 (26)

On a Whitham-Type Equation [PDF]

open access: yes, 2009
The Hunter-Saxton equation and the Gurevich-Zybin system are considered as two mutually non-equivalent representations of one and the same Whitham-type equation, and all their common solutions are obtained ...
Sakovich, Sergei
core   +5 more sources

On Transformations of the Rabelo Equations [PDF]

open access: yes, 2007
We study four distinct second-order nonlinear equations of Rabelo which describe pseudospherical surfaces. By transforming these equations to the constant-characteristic form we relate them to some well-studied integrable equations.
Sakovich, Anton, Sakovich, Sergei
core   +3 more sources

Exact Wave Functions for Generalized Harmonic Oscillators [PDF]

open access: yes, 2011
We transform the time-dependent Schroedinger equation for the most general variable quadratic Hamiltonians into a standard autonomous form. As a result, the time-evolution of exact wave functions of generalized harmonic oscillators is determined in terms
Lanfear, Nathan   +2 more
core   +1 more source

On a Nonlocal Ostrovsky-Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability [PDF]

open access: yes, 2010
Short-wave perturbations in a relaxing medium, governed by a special reduction of the Ostrovsky evolution equation, and later derived by Whitham, are studied using the gradient-holonomic integrability algorithm.
Golenia, Jolanta   +3 more
core   +4 more sources

Multi-integral representations for associated Legendre and Ferrers functions

open access: yes, 2020
For the associated Legendre and Ferrers functions of the first and second kind, we obtain new multi-derivative and multi-integral representation formulas.
Cohl, Howard S.   +1 more
core   +1 more source

A new mathematical formulation for a phase change problem with a memory flux [PDF]

open access: yes, 2018
A mathematical formulation for a one-phase change problem in a form of Stefan problem with a memory flux is obtained. The hypothesis that the integral of weighted backward fluxes is proportional to the gradient of the temperature is considered. The model
Bollati, Julieta   +2 more
core   +2 more sources

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