|
Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 62, Number 1, Pages 3–29
(Mi tmf4527)
|
|
|
|
This article is cited in 28 scientific papers (total in 30 papers)
Local and nonlocal currents for nonlinear equations
V. S. Vladimirov, I. V. Volovich
Abstract:
A general method is suggested for constructing conserving currents for a wide
class of (many-dimensional) nonlinear equations. For nonlinear differential equations
which can be presented as conditions of solvability of some over-determined linear
system with a parameter (in particular, for the equations integrable by means of the
inverse scattering transform method), the procedure of the explicit evaluation of
conserving currents is proposed.
Received: 11.07.1984
Citation:
V. S. Vladimirov, I. V. Volovich, “Local and nonlocal currents for nonlinear equations”, TMF, 62:1 (1985), 3–29; Theoret. and Math. Phys., 62:1 (1985), 1–20
Linking options:
https://www.mathnet.ru/eng/tmf4527 https://www.mathnet.ru/eng/tmf/v62/i1/p3
|
|