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Discrete Analogues of a Negative Order AKNS Equation
Author(s) -
Yu G.F.
Publication year - 2015
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/sapm.12082
Subject(s) - integrable system , discretization , bilinear interpolation , mathematics , soliton , bilinear form , order (exchange) , mathematical physics , mathematical analysis , nonlinear system , physics , quantum mechanics , statistics , finance , economics
The paper investigates the integrable discretization of a negative order AKNS equation. Two semidiscrete and one fully discrete versions of the system are given via Hirota's bilinear method. Soliton solutions for the derived discrete systems are also presented. Dynamics of one‐soliton and two‐soliton solutions of spacial‐discrete system are characterized.