文献类型：期刊文献

英文题名：The localized excitation on the Weierstrass elliptic function periodic background for the (n+1)-dimensional generalized Kadomtsev-Petviashvili equation

作者：He, Qiong[1];Li, Jiabin[2];Yang, Yunqing[1];Zhang, Yongshuai[3]

机构：[1]Zhejiang Univ Sci & Technol, Sch Sci, Hangzhou 310023, Peoples R China;[2]Zhejiang Ocean Univ, Sch Informat Sci, Zhoushan 316022, Peoples R China;[3]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China

年份：2025

卷号：77

期号：11

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:001549242000001)、、Scopus(收录号：2-s2.0-105011649831)、WOS

基金：This work is supported by the National Natural Science Foundation of China (Grant Nos. 12475007 and 12171433).

语种：英文

外文关键词：nonlinear wave; spectral analysis; linear spectral problem; Lam & eacute; function; Darboux transformation

外文摘要：In order to investigate physically meaning localized nonlinear waves on the periodic background defined by Weierstrass elliptic & wp;-function for the (n + 1)-dimensional generalized Kadomtsev-Petviashvili equation by Darboux transformation, the associated linear spectral problem with the Weierstrass function as the external potential is studied by utilizing the Lam & eacute; function. The degenerate solutions of the nonlinear waves have also been obtained by approaching the limits of the half-periods omega 1 and omega 2 of & wp;(x). At the same time, the evolution and nonlinear dynamics of various nonlinear waves under different parameter regimes are systematically discussed. The findings may open avenues for related experimental investigations and potential applications in various nonlinear science domains, such as nonlinear optics and oceanography.