Artículo
Abstract:
From the analysis of the symmetries of the derivative nonlinear Schrodinger (DNLS) equation, we obtain a new constant of motion, which may be formally considered as a charge and which is related to the helicity of the physical system. From comparison of these symmetries and those of the soliton solutions, we draw conclusions about the number of constraints that must be imposed and the way a Liapunov functional must be constructed in order to study the solitons’ stability. We also examine the relationship between the stability with respect to form and the symmetries that are broken by the soliton solutions. We complete the analysis with some numerical simulations: we solve the DNLS equation taking a slightly perturbed soliton as an initial condition and study its temporal evolution, finding that, as expected, they are stable with respect to form. © 1988, Cambridge University Press. All rights reserved.
Registro:
| Documento: | Artículo |
| Título: | Analytical properties and numerical solutions of the derivative nonlinear Schrödinger equation |
| Autor: | Dawson, S.P. |
| Filiación: | Institute de Astronomía y Física del Espacio, C.C. 67 Sue. 28, Argentina Programa de Investigaciones Teóricas y Experimentales en Física del Plasma, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, (1428) Buenos Aires, Argentina |
| Palabras clave: | Mathematical Techniques--Numerical Methods; System Stability--Lyapunov Methods; Schrodinger Equation; Solitons; Plasmas |
| Año: | 1988 |
| Volumen: | 40 |
| Número: | 3 |
| Página de inicio: | 585 |
| Página de fin: | 602 |
| DOI: | http://dx.doi.org/10.1017/S0022377800013544 |
| Título revista: | Journal of Plasma Physics |
| Título revista abreviado: | J Plasma Phys |
| ISSN: | 00223778 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00223778_v40_n3_p585_Dawson |
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Citas:
---------- APA ----------
(1988) . Analytical properties and numerical solutions of the derivative nonlinear Schrödinger equation. Journal of Plasma Physics, 40(3), 585-602.http://dx.doi.org/10.1017/S0022377800013544
---------- CHICAGO ----------
Dawson, S.P. "Analytical properties and numerical solutions of the derivative nonlinear Schrödinger equation" . Journal of Plasma Physics 40, no. 3 (1988) : 585-602.http://dx.doi.org/10.1017/S0022377800013544
---------- MLA ----------
Dawson, S.P. "Analytical properties and numerical solutions of the derivative nonlinear Schrödinger equation" . Journal of Plasma Physics, vol. 40, no. 3, 1988, pp. 585-602.http://dx.doi.org/10.1017/S0022377800013544
---------- VANCOUVER ----------
Dawson, S.P. Analytical properties and numerical solutions of the derivative nonlinear Schrödinger equation. J Plasma Phys. 1988;40(3):585-602.http://dx.doi.org/10.1017/S0022377800013544
