Novel soliton molecules and wave interactions for a (3+1)-dimensional nonlinear evolution equation

被引：14

作者：

Tang, Xiao-yan ^{[1
]}

Cui, Chao-jie ^{[2
]}

Liang, Zu-feng ^{[3
]}

Ding, Wei ^{[4
]}

机构：

[1] East China Normal Univ, Sch Math Sci, Shanghai Key Lab PMMP, Shanghai 200062, Peoples R China

[2] East China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China

[3] Hangzhou Normal Univ, Dept Phys, Hangzhou 310036, Peoples R China

[4] Shanghai Normal Univ, Sch Comp Sci & Technol, Shanghai 200234, Peoples R China

来源：

NONLINEAR DYNAMICS | 2021年 / 105卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Soliton molecule; Dromion; Lump; Ring soliton; VARIABLE SEPARATION APPROACH; FORM;

D O I：

10.1007/s11071-021-06687-7

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

New wave excitations are revealed for a (3 + 1)-dimensional nonlinear evolution equation to enrich nonlinear wave patterns in nonlinear systems. Based on a new variable separation solution with two arbitrary variable separated functions obtained by means of the multilinear variable separation approach, localized excitations of N dromions, NxM lump lattice and ring soliton lattice are constructed. In addition, it is observed that soliton molecules can be composed of diverse "atoms" such as the dromions, lumps and ring solitons, respectively. Elastic interactions between solitons and soliton molecules are graphically demonstrated.

引用

页码：2549 / 2557

页数：9

共 38 条

[11] Soliton and breather molecules in few-cycle-pulse optical model [J].

Jia, Man ;

Lin, Ji ;

Lou, Sen Yue .

NONLINEAR DYNAMICS, 2020, 100 (04) :3745-3757

[12]

Liu W, 2019, NONLINEAR DYNAM, V96, P2463, DOI 10.1007/s11071-019-04935-5

[13] Real-Time Observation of the Buildup of Soliton Molecules [J].

Liu, Xueming ;

Yao, Xiankun ;

Cui, Yudong .

PHYSICAL REVIEW LETTERS, 2018, 121 (02)

[14] Soliton molecules and asymmetric solitons in three fifth order systems via velocity resonance [J].

Lou, S. Y. .

JOURNAL OF PHYSICS COMMUNICATIONS, 2020, 4 (04)

[15] Formal variable separation approach for nonintegrable models [J].

Lou, SY ;

Chen, LL .

JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (12) :6491-6500

[16]

Matveev V.B., 1991, DARBOUX TRANSFORMATI

[17]

Olver PJ, 1986, GRADUATE TEXTS MATH, V107, DOI [10.1007/978-1-4684-0274-2, DOI 10.1007/978-1-4684-0274-2]

[18] Solitons and soliton molecules in two nonlocal Alice-Bob Sawada-Kotera systems [J].

Qi-Liang, Zhao ;

Sen-Yue, Lou ;

Man, Jia .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2020, 72 (08)

[19] Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source [J].

Qu, CZ ;

Zhang, SL ;

Liu, RC .

PHYSICA D-NONLINEAR PHENOMENA, 2000, 144 (1-2) :97-123

[20] Experimental observation of temporal soliton molecules [J].

Stratmann, M ;

Pagel, T ;

Mitschke, F .

PHYSICAL REVIEW LETTERS, 2005, 95 (14)

← 1 2 3 4 →