Integral Dispersion Equation Method in the Problem on Nonlinear Waves in a Circular Waveguide

2021 ◽  
Vol 57 (10) ◽  
pp. 1333-1340
Author(s):  
Yu. G. Smirnov
Keyword(s):  
Dispersion Equation ◽  
Nonlinear Waves ◽  
Circular Waveguide ◽  
Equation Method

Localized Nonlinear Waves in Nonlinear Schr¨odinger Equation with Nonlinearities Modulated in Space and Time

2011 ◽  
Vol 66 (12) ◽  
pp. 728-734 ◽  
Author(s):  
Junchao Chen ◽  
Biao Li
Keyword(s):  
Symbolic Computation ◽  
Analytical Solutions ◽  
Nonlinear Waves ◽  
Type Equation ◽  
Equation Method ◽  
One Dimensional ◽  
Space And Time ◽  
Spatial Coordinates ◽  
The One ◽  
Bose Einstein

In this paper, the generalized sub-equation method is extended to investigate localized nonlinear waves of the one-dimensional nonlinear Schrödinger equation (NLSE) with potentials and nonlinearities depending on time and on spatial coordinates. With the help of symbolic computation, three families of analytical solutions of this NLS-type equation are presented. Based on these solutions, periodically and quasiperiodically oscillating solitons (dark and bright) and moving solitons are observed. Some implications to Bose-Einstein condensates are also discussed

Nonlinear Waves, Solitons and Chaos

2000 ◽  
Author(s):  
Eryk Infeld ◽  
George Rowlands
Keyword(s):  
Nonlinear Waves

An approximate dispersion equation for atmosphere gravity waves

2011 ◽  
Vol 17 (1) ◽  
pp. 43-46 ◽  
Author(s):  
G.V. Lizunov ◽  
◽  
A.Yu. Leontiev ◽  
Keyword(s):  
Dispersion Equation ◽  
Gravity Waves
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