The Boussinesq-BO equation for algebraic gravity solitary waves in baroclinic atmosphere and the research of squall lines formation mechanism

2017 ◽  
Vol 80 ◽  
pp. 29-46
Author(s):  
Min Guo ◽  
Xin Chen ◽  
Yaodeng Chen ◽  
Hongwei Yang
Keyword(s):  
Formation Mechanism ◽  
Solitary Waves ◽  
Squall Lines ◽  
Bo Equation

scholarly journals The Rational Solutions and Quasi-Periodic Wave Solutions as well as Interactions ofN-Soliton Solutions for 3 + 1 Dimensional Jimbo-Miwa Equation

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Hongwei Yang ◽  
Yong Zhang ◽  
Xiaoen Zhang ◽  
Xin Chen ◽  
Zhenhua Xu
Keyword(s):  
Solitary Waves ◽  
Potential Application ◽  
Special Form ◽  
Soliton Solutions ◽  
Periodic Wave ◽  
Rational Solutions ◽  
Periodic Wave Solutions ◽  
Squall Lines ◽  
Wave Solutions ◽  
Soliton Fission

The exact rational solutions, quasi-periodic wave solutions, andN-soliton solutions of 3 + 1 dimensional Jimbo-Miwa equation are acquired, respectively, by using the Hirota method, whereafter the rational solutions are also called algebraic solitary waves solutions and used to describe the squall lines phenomenon and explained possible formation mechanism of the rainstorm formation which occur in the atmosphere, so the study on the rational solutions of soliton equations has potential application value in the atmosphere field; the soliton fission and fusion are described based on the resonant solution which is a special form of theN-soliton solutions. At last, the interactions of the solitons are shown with the aid ofN-soliton solutions.

Solitary waves on manifolds of integrate-and-fire neurons

1998 ◽  
Vol 77 (5) ◽  
pp. 1575-1583
Author(s):  
David Horn, Irit Opher
Keyword(s):  
Solitary Waves ◽  
Integrate And Fire
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