Break-up of two-dimensional bright spatial solitons due to transverse modulation instability

1996 ◽  
Vol 35 (1) ◽  
pp. 25-30 ◽  
Author(s):  
A. V Mamaev ◽  
M Saffman ◽  
A. A Zozulya
Keyword(s):  
Modulation Instability ◽  
Two Dimensional ◽  
Spatial Solitons ◽  
Break Up ◽  
Transverse Modulation

Nonlinear dynamical wave structures to the Date–Jimbo–Kashiwara–Miwa equation and its modulation instability analysis

2021 ◽  
pp. 2150300
Author(s):  
M. Younis ◽  
A. R. Seadawy ◽  
M. Bilal ◽  
S. T. R. Rizvi ◽  
Saad Althobaiti ◽  
...  
Keyword(s):  
Function Method ◽  
Modulation Instability ◽  
Existence Of Solutions ◽  
Three Dimensional ◽  
Algebraic Method ◽  
Two Dimensional ◽  
Instability Analysis ◽  
Nonlinear Dynamical ◽  
Wave Solutions ◽  
Different Shapes

A particular attention is paid to the nonlinear dynamical exact wave solutions to the (2 + 1)-dimensional Date–Jimbo–Kashiwara–Miwa equation (DJKME). A variety of solutions are extracted in different shapes like dark, singular, dark-singular by implementing [Formula: see text]-expansion function method and modified direct algebraic method. In addition, we also secure singular periodic and plane wave solutions with arbitrary parameters. We also discussed the modulation instability analysis of the governing model. The constraint conditions for the validity of existence of solutions are also reported. Moreover, three-dimensional and two-dimensional, and their corresponding contour graphs are sketched for a better understanding of the derived solutions with the values of arbitrary parameters.

Restructuring and Break-Up of Two-Dimensional Aggregates in Shear Flow

Langmuir ◽  
2006 ◽  
Vol 22 (11) ◽  
pp. 4959-4967 ◽  
Author(s):  
Nikolina D. Vassileva ◽  
Dirk van den Ende ◽  
Frieder Mugele ◽  
Jorrit Mellema
Keyword(s):  
Shear Flow ◽  
Two Dimensional ◽  
Break Up

Controllable branching of optical beams by quasi-two-dimensional dark spatial solitons

1997 ◽  
Vol 14 (11) ◽  
pp. 2869 ◽  
Author(s):  
D. Neshev ◽  
A. Dreischuh ◽  
S. Dinev ◽  
L. Windholz
Keyword(s):  
Two Dimensional ◽  
Spatial Solitons ◽  
Optical Beams
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