NDLI: Super quasiperiodic wave solutions and asymptotic analysis for $$ \mathcal{N} = 1 $$ supersymmetric KdV-type equations

Content Provider	Springer Nature Link
Author	Hon, Y. C. Fan, Engui
Copyright Year	2011
Abstract	Based on a general multidimensional Riemann theta function and the super Hirota bilinear form, we extend the Hirota method to construct explicit super quasiperiodic (multiperiodic) wave solutions of $$ \mathcal{N} = 1 $$ supersymmetric KdV-type equations in superspace. We show that the supersymmetric KdV equation does not have an N-periodic wave solution with arbitrary parameters for N ≥ 2. In addition, an interesting influencing band occurs among the super quasiperiodic waves under the presence of a Grassmann variable. We also observe that the super quasiperiodic waves are symmetric about this band but collapse along with it. We present a limit procedure for analyzing the asymptotic properties of the super quasiperiodic waves and rigorously show that the super periodic wave solutions tend to super soliton solutions under some “small amplitude” limits.
Starting Page	317
Ending Page	336
Page Count	20
File Format	PDF
ISSN	00405779
Journal	Theoretical and Mathematical Physics
Volume Number	166
Issue Number	3
e-ISSN	15739333
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2011-04-20
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	supersymmetric KdV-type equation super Hirota bilinear method Riemann theta function super quasiperiodic wave solution super soliton solution Theoretical, Mathematical and Computational Physics Applications of Mathematics
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Mathematical Physics

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