The localized excitation on the Weierstrass elliptic function periodic background for the (3+1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili equation

被引:1
作者
Wang, Yuqian [1 ]
Li, Jiabin [1 ]
Sun, Wanyi [1 ]
Yang, Yunqing [2 ]
机构
[1] Zhejiang Ocean Univ, Sch Informat Sci, Zhoushan 316022, Peoples R China
[2] Zhejiang Univ Sci & Technol, Sch Sci, Hangzhou 310023, Peoples R China
基金
中国国家自然科学基金;
关键词
darboux transformation; lax pair; nonlinear wave solution; periodic-background solution; soliton; breather wave; ROGUE WAVES; SOLITONS; LONG;
D O I
10.1088/1402-4896/ad75c4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, the linear spectral problem associated with the (3+1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili (gvcKP) equation with the Weierstrass function as the external potential is investigated based on the Lam & eacute; function, from which some new localized nonlinear wave solutions on the Weierstrass elliptic P-function periodic background are obtained by the Darboux transformation. The degenerate solutions on the P-function periodic background for the gvcKP equation can be derived by taking the limits of the half-periods omega(1), omega(2) of P(x), whose evolution and corresponding dynamics are also discussed. The findings show that nonlinear waves on the P-function periodic background behave as different types of nonlinear waves in different spaces, including periodic waves, vortex solitons and interaction solutions, aiding in elucidating some physical phenomena in the related fields, such as the physical ocean and nonlinear optics.
引用
收藏
页数:14
相关论文
共 68 条
[1]   EVOLUTION OF PACKETS OF WATER-WAVES [J].
ABLOWITZ, MJ ;
SEGUR, H .
JOURNAL OF FLUID MECHANICS, 1979, 92 (JUN) :691-715
[2]  
Ablowitz MJ., 1991, Solitons, Nonlinear Evolution Equation and Inverse Scattering, DOI 10.1017/CBO9780511623998
[3]  
[Anonymous], 2002, Concise Encyclopedia of Mathematics
[4]   Elliptic soliton solutions of the spin non-chiral intermediate long-wave equation [J].
Berntson, Bjorn K. K. ;
Langmann, Edwin ;
Lenells, Jonatan .
LETTERS IN MATHEMATICAL PHYSICS, 2023, 113 (03)
[5]   Dynamical nonlinear wave structures of the predator-prey model using conformable derivative and its stability analysis [J].
Bilal, Muhammad ;
Shafqat-Ur-Rehman ;
Ahmad, Jamshad .
PRAMANA-JOURNAL OF PHYSICS, 2022, 96 (03)
[6]   Lump-periodic, some interaction phenomena and breather wave solutions to the (2+1)-rth dispersionless Dym equation [J].
Bilal, Muhammad ;
Ur-Rehman, Shafqat ;
Ahmad, Jamshad .
MODERN PHYSICS LETTERS B, 2022, 36 (02)
[7]   Investigation of optical solitons and modulation instability analysis to the Kundu-Mukherjee-Naskar model [J].
Bilal, Muhammad ;
Shafqat-Ur-Rehman ;
Ahmad, Jamshad .
OPTICAL AND QUANTUM ELECTRONICS, 2021, 53 (06)
[8]   Elliptic solitons and Grobner bases [J].
Brezhnev, YV .
JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (02) :696-712
[9]   Elliptic solitons with free constants and their isospectral deformations [J].
Brezhnev, YV .
REPORTS ON MATHEMATICAL PHYSICS, 2001, 48 (1-2) :39-46
[10]  
CAO CW, 1990, SCI CHINA SER A, V33, P528