F M Toyama et al 1994 J. Phys. A: Math. Gen. 27 3139 doi:10.1088/0305-4470/27/9/026
F M Toyama, Y Hosono, B Ilyas and Y Nogami
Show affiliationsWe examine the low-energy limit of the nonlinear Dirac equation (NLDE) in 1+1 dimensions with a Lorentz scalar self-interaction. Unlike the nonlinear Schrodinger equation (NLSE), which is integrable, the NLDE is known to exhibit rich dynamics of the soliton-soliton collision when the relative speed of the solitons is small. The NLDE is intrinsically different from the NLSE even when the energy involved is small. When it is modified by adding a specific correction term, however, the NLSE well reproduces the complex features of the soliton-soliton collision described by the NLDE.
35Q55 NLS-like (nonlinear Schrödinger) equations (See also 37K10)
35Q51 Solitons (See also 37K40)
Issue 9 (7 May 1994)
F M Toyama et al 1994 J. Phys. A: Math. Gen. 27 3139
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C W Meyer and W L Tew 2006 Metrologia 43 341
H Ofuchi et al 2009 J. Phys.: Conf. Ser. 190 012116
I C Rae 1982 Plasma Phys. 24 133
G M Lewis 1955 Proc. Phys. Soc. A 68 735
K Nakahira et al 2004 Meas. Sci. Technol. 15 347
Michael J O'Shea 2009 Phys. Educ. 44 644
U Jeleń and M Alber 2007 Phys. Med. Biol. 52 617
J. Kesner 1993 Nucl. Fusion 33 1085