A super soliton connection. (English) Zbl 0608.35072

Gürses, M.; Oǧuz, Ö.

Lett. Math. Phys. 11, 235-246 (1986).

This short note gives a survey of the AKNS schema and its geometrical interpretation. Section 1 and 2 contain a description of the scheme and in section 3 a super s1(2,R) valued connection 1-form. Then the zero curvature condition leads to a new class of super integrable non-linear evolution equations associated with the super AKNS scheme. The extension of the super AKNS scheme is described and its applications are presented in the final section.

Reviewer: P.Mahanti

MSC:

35Q99	Partial differential equations of mathematical physics and other areas of application
35G20	Nonlinear higher-order PDEs

Keywords:

soliton; super extension; Lax hierarchy; super nonlinear Schrödinger equation; Bäcklund transformations; survey; AKNS schema; zero curvature condition; integrable non-linear evolution equations

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