The N-periodic wave solutions to the N=1 supersymmetric Sawada–Kotera–Ramani equation  

作　　者：Pengcheng Xin Zhonglong Zhao Yu Wang 辛鹏程;赵忠龙;王宇

机构地区：[1]School of Mathematics,North University of China,Taiyuan 030051,China

出　　处：《Chinese Physics B》2025年第2期207-213,共7页中国物理B(英文版)

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 12101572 and 12371256);2024 Shanxi Province Graduate Innovation Project (Grant No. 2024KY615);the Fundamental Research Program of Shanxi Province of China (Grant No. 202403021211002)。

摘　　要：The N-periodic wave solvability problem for the N=1 supersymmetric Sawada–Kotera–Ramani equation is considered by combining the Hirota's bilinear method and the super Riemann theta function. The constraint equations and unknown parameters are redefined, and the numerical calculation process of the N-periodic wave solutions is derived. It has been verified that under certain conditions, the asymptotic relations between N-periodic wave solutions and N-soliton solutions can be established. Some numerical solutions of three-periodic wave are presented. Under the influence of the Grassmann variable, the three-periodic wave solutions will generate an influence band in the middle region, and the amplitude becomes bigger as the distance from the influence band increases.

关 键 词：SUPERSYMMETRY N-periodic wave solutions asymptotic relations 

分 类 号：O241.8[理学—计算数学]