Nonlocal symmetries, solitary waves and cnoidal periodic waves of the (2+1)-dimensional breaking soliton equation

被引：2
|
作者：
Zou, Li [1 ,4 ]
Tian, Shou-Fu [2 ,3 ]
Feng, Lian-Li [2 ,3 ]
机构：
[1] Dalian Univ Technol, Sch Naval Architecture, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China
[2] China Univ Min & Technol, Sch Math, Xuzhou 221116, Peoples R China
[3] China Univ Min & Technol, Inst Math Phys, Xuzhou 221116, Peoples R China
[4] Collaborat Innovat Ctr Adv Ship & Deep Sea Explor, Shanghai 200240, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2017年 / 31卷 / 36期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
The (2+1)-dimensional breaking soliton equation; nonlocal symmetry; truncated Painleve expansion; solitary waves; cnoidal periodic waves; NONLINEAR SCHRODINGER-EQUATION; INFINITE CONSERVATION-LAWS; ROGUE WAVES; RATIONAL CHARACTERISTICS; BACKLUND TRANSFORMATION; DARBOUX TRANSFORMATION; EVOLUTION-EQUATIONS; BREATHER WAVES; LIE SYMMETRIES; SYSTEMS;
D O I：
10.1142/S0217984917503481
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, we consider the (2+1)-dimensional breaking soliton equation, which describes the interaction of a Riemann wave propagating along the y-axis with a long wave along the x-axis. By virtue of the truncated Painleve expansion method, we obtain the nonlocal symmetry, Backlund transformation and Schwarzian form of the equation. Furthermore, by using the consistent Riccati expansion (CRE), we prove that the breaking soliton equation is solvable. Based on the consistent tan-function expansion, we explicitly derive the interaction solutions between solitary waves and cnoidal periodic waves.
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页数：12
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