scholarly journals Symmetry and conservation laws in semiclassical wave packet dynamics

2015 ◽  
Vol 56 (3) ◽  
pp. 032103 ◽  
Author(s):  
Tomoki Ohsawa
1995 ◽  
Vol 52 (4) ◽  
pp. 2402-2411 ◽  
Author(s):  
C. R. Hu ◽  
S. G. Matinyan ◽  
B. Müller ◽  
A. Trayanov ◽  
T. M. Gould ◽  
...  

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 878
Author(s):  
Alexei Cheviakov ◽  
Denys Dutykh ◽  
Aidar Assylbekuly

We investigate a family of higher-order Benjamin–Bona–Mahony-type equations, which appeared in the course of study towards finding a Galilei-invariant, energy-preserving long wave equation. We perform local symmetry and conservation laws classification for this family of Partial Differential Equations (PDEs). The analysis reveals that this family includes a special equation which admits additional, higher-order local symmetries and conservation laws. We compute its solitary waves and simulate their collisions. The numerical simulations show that their collision is elastic, which is an indication of its S−integrability. This particular PDE turns out to be a rescaled version of the celebrated Camassa–Holm equation, which confirms its integrability.


2021 ◽  
Vol 62 (5) ◽  
pp. 052901
Author(s):  
Enrico Massa ◽  
Enrico Pagani

1997 ◽  
Vol 101 (19) ◽  
pp. 3454-3460 ◽  
Author(s):  
Paola Cattaneo ◽  
Maurizio Persico

1998 ◽  
Vol 93 (1-3) ◽  
pp. 17-30 ◽  
Author(s):  
E. Pahl ◽  
H.-D. Meyer ◽  
L.S. Cederbaum ◽  
F. Tarantelli

2021 ◽  
Author(s):  
Tushar Debnath ◽  
Debalaya Sarker ◽  
He Huang ◽  
Zhong-Kang Han ◽  
Amrita Dey ◽  
...  

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