Solitary waves, rogue waves and homoclinic breather waves for a (2+1)-dimensional generalized Kadomtsev-Petviashvili equation

被引：3

作者：

Dong, Min-Jie ^{[1
,2
]}

Tian, Shou-Fu ^{[1
,2
]}

Yan, Xue-Wei ^{[1
,2
]}

Zou, Li ^{[3
,4
]}

Li, Jin ^{[5
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Peoples R China

[2] China Univ Min & Technol, Inst Math Phys, Xuzhou 221116, Peoples R China

[3] Dalian Univ Technol, Sch Naval Architecture, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China

[4] Collaborat Innovat Ctr Adv Ship & Deep Sea Explor, Shanghai 200240, Peoples R China

[5] Univ Cambridge, Dept Engn, 9 TT Thomson Ave, Cambridge CB3 0FA, England

来源：

MODERN PHYSICS LETTERS B | 2017年 / 31卷 / 30期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

A (2+1)-dimensional generalized Kadomtsev-Petviashvili equation; Hirota bilinear form; solitary waves; rogue waves; homoclinic breather waves; NONLINEAR SCHRODINGER-EQUATION; RATIONAL CHARACTERISTICS; BILINEAR EQUATIONS; CONSERVATION-LAWS; PERIODIC-WAVES; LIE SYMMETRIES; HIROTA; DYNAMICS; INTEGRABILITY; SYSTEMS;

D O I：

10.1142/S0217984917502815

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We study a (2 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation, which characterizes the formation of patterns in liquid drops. By using Bells polynomials, an effective way is employed to succinctly construct the bilinear form of the gKP equation. Based on the resulting bilinear equation, we derive its solitary waves, rogue waves and homoclinic breather waves, respectively. Our results can help enrich the dynamical behavior of the KP-type equations.

引用

页数：10

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