INVESTIGADORES
DE LEO Mariano Fernando
artículos
Título:
Integrability of nonlinear wave equations and solvability of their initial value problem.
Autor/es:
BORGNA, J.; DEGASPERIS, A.; DE LEO, M.; RIAL, D.
Revista:
JOURNAL OF MATHEMATICAL PHYSICS
Editorial:
AMER INST PHYSICS
Referencias:
Lugar: New York; Año: 2012 vol. 53 p. 1 - 16
ISSN:
0022-2488
Resumen:
We investigate one particular prototypical system of evolution equations in 1+1dimensions, which models the (nonlocal) interaction of two waves in quadraticnonlinear media. These equations are integrable as they possess a Lax pair. Weconsider the spectral method of solving the associated initial value problem and, asrecently pointed out, we show that generically the associated initial value problemcannot be linearized. We further elaborate on the integrability issue for this modelby displaying the corresponding conservation laws and the motion of a particularsoliton.
