scholarly journals Analysis of BBM solitary wave interactions using the conserved quantities

2022 ◽  
Vol 155 ◽  
pp. 111725
Author(s):  
Xiangcheng You ◽  
Hang Xu ◽  
Qiang Sun
Keyword(s):  
Solitary Wave ◽  
Conserved Quantities ◽  
Wave Interactions

SOLITARY WAVE INTERACTIONS WITH CONTINUOUS WAVES

2006 ◽  
Vol 16 (06) ◽  
pp. 1753-1764 ◽  
Author(s):  
Y. KOMINIS ◽  
K. HIZANIDIS
Keyword(s):  
Wave Propagation ◽  
Solitary Wave ◽  
Topological Charge ◽  
Analytical Approach ◽  
Transverse Velocity ◽  
Conserved Quantities ◽  
Wave Interactions ◽  
Continuous Waves ◽  
Solitary Structures ◽  
Continuous Background

Solitary wave propagation under interaction with continuous waves is studied in the context of the Nonlinear Schrödinger Equation. An analytical approach, based on the conserved quantities of the wave evolution, is used to study transverse velocity variations for the case of nonzero transverse wavenumber difference between the solitary and continuous waves. The method is applicable for any number of transverse dimensions and any kind of nonlinearity. Moreover, the presence of a coherent continuous background is shown to be responsible for the creation of solitary rings and spirals, under interaction with solitary structures with nonzero topological charge. Numerical simulations for specific cases were used to confirm the analytical results.

Quasi-soliton and other behaviour of the nonlinear cubic-quintic Schrödinger equation

1986 ◽  
Vol 64 (3) ◽  
pp. 311-315 ◽  
Author(s):  
Stuart Cowan ◽  
R. H. Enns ◽  
S. S. Rangnekar ◽  
Sukhpal S. Sanghera
Keyword(s):  
Solitary Wave ◽  
Schrödinger Equation ◽  
Parameter Space ◽  
Schrodinger Equation ◽  
Solitary Wave Solutions ◽  
Wave Interactions ◽  
Wave Solutions ◽  
The Stability

The stability of the solitary-wave solutions of the nonlinear cubic–quintic Schrödinger equation (NLCQSE) is examined numerically. The solutions are found not to be solitons, but quasi-soliton behaviour is found to persist over wide regions of parameter space. Outside these regions dispersive and explosive behaviour is observed in solitary-wave interactions.

Solitary Wave Interactions in Granular Media

2007 ◽  
Vol 24 (10) ◽  
pp. 2887-2890 ◽  
Author(s):  
Wen Zhen-Ying ◽  
Wang Shun-Jin ◽  
Zhang Xiu-Ming ◽  
Li Lei
Keyword(s):  
Solitary Wave ◽  
Granular Media ◽  
Wave Interactions
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