Quasi-periodic waves and their interactions in the (2+1)-dimensional modified dispersive water-wave system

2009 ◽  
Vol 80 (1) ◽  
pp. 015006 ◽  
Author(s):  
M F El-Sabbagh ◽  
M M Hassan ◽  
E A-B Abdel-Salam
Keyword(s):  
Water Wave ◽  
Wave System ◽  
Periodic Waves

Non-uniform dependence on initial data for the two-component fractional shallow water wave system

2020 ◽  
Vol 192 ◽  
pp. 111714
Author(s):  
Shouming Zhou ◽  
Shihang Pan ◽  
Chunlai Mu ◽  
Honglin Luo
Keyword(s):  
Initial Data ◽  
Shallow Water ◽  
Water Wave ◽  
Wave System ◽  
Shallow Water Wave ◽  
Two Component

Completing the Study of Traveling Wave Solutions for Three Two-Component Shallow Water Wave Models

2020 ◽  
Vol 30 (03) ◽  
pp. 2050036 ◽  
Author(s):  
Jibin Li ◽  
Guanrong Chen ◽  
Jie Song
Keyword(s):  
Solitary Wave ◽  
Shallow Water ◽  
Traveling Wave ◽  
Water Wave ◽  
Wave System ◽  
Solitary Wave Solutions ◽  
Shallow Water Wave ◽  
Wave Solutions ◽  
Two Component ◽  
Wave Models

For three two-component shallow water wave models, from the approach of dynamical systems and the singular traveling wave theory developed in [Li & Chen, 2007], under different parameter conditions, all possible bounded solutions (solitary wave solutions, pseudo-peakons, periodic peakons, as well as smooth periodic wave solutions) are derived. More than 19 explicit exact parametric representations are obtained. Of more interest is that, for the integrable two-component generalization of the Camassa–Holm equation, it is found that its [Formula: see text]-traveling wave system has a family of pseudo-peakon wave solutions. In addition, its [Formula: see text]-traveling wave system has two families of uncountably infinitely many solitary wave solutions. The new results complete a recent study by Dutykh and Ionescu-Kruse [2016].

Localized Excitations in a Dispersive Long Water-Wave System via an Extended Projective Approach

2007 ◽  
Vol 62 (3-4) ◽  
pp. 140-146 ◽  
Author(s):  
Jin-Xi Fei ◽  
Chun-Long Zheng
Keyword(s):  
Coherent Structures ◽  
Water Wave ◽  
Wave System ◽  
Variable Separation ◽  
Localized Excitations ◽  
Complex Wave ◽  
New Type ◽  
03.65 Ge

By means of an extended projective approach, a new type of variable separation excitation with arbitrary functions of the (2+1)-dimensional dispersive long water-wave (DLW) system is derived. Based on the derived variable separation excitation, abundant localized coherent structures such as single-valued localized excitations, multiple-valued localized excitations and complex wave excitations are revealed by prescribing appropriate functions. - PACS numbers: 03.65.Ge, 05.45.Yv

The soliton-like solutions to the (2+1)-dimensional modified dispersive water-wave system

2004 ◽  
Vol 13 (7) ◽  
pp. 984-987 ◽  
Author(s):  
Li De-Sheng ◽  
Zhang Hong-Qing
Keyword(s):  
Water Wave ◽  
Wave System

Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system

2011 ◽  
Vol 69 (1-2) ◽  
pp. 391-398 ◽  
Author(s):  
De-Xin Meng ◽  
Yi-Tian Gao ◽  
Lei Wang ◽  
Peng-Bo Xu
Keyword(s):  
Water Wave ◽  
Variable Coefficient ◽  
Wave System ◽  
Inelastic Interactions
Sign in / Sign up

Export Citation Format

Share Document