scholarly journals An approximate inverse scattering technique for reconstructing blockage profiles in water pipelines using acoustic transients

2018 ◽  
Vol 143 (5) ◽  
pp. EL322-EL327 ◽  
Author(s):  
Liwen Jing ◽  
Zhao Li ◽  
Wenjie Wang ◽  
Amartansh Dubey ◽  
Pedro Lee ◽  
...  
Keyword(s):  
Inverse Scattering ◽  
Approximate Inverse ◽  
Scattering Technique ◽  
Water Pipelines ◽  
Acoustic Transients

THE TYPES OF AXISYMMETRIC EXACT SOLUTIONS CLOSELY RELATED TO n-SOLITONS FOR YANG–MILLS–HIGGS THEORY

1999 ◽  
Vol 14 (08n09) ◽  
pp. 585-592
Author(s):  
ZAI ZHE ZHONG
Keyword(s):  
Exact Solution ◽  
Exact Solutions ◽  
Inverse Scattering ◽  
Real Matrix ◽  
Zakharov Equation ◽  
Yang Mills ◽  
Scattering Technique

In this letter, we point out that if a symmetric 2×2 real matrix M(ρ,z) obeys the Belinsky–Zakharov equation and | det (M)|=1, then an axisymmetric Bogomol'nyi field exact solution for the Yang–Mills–Higgs theory can be given. By using the inverse scattering technique, some special Bogomol'nyi field exact solutions, which are closely related to the true solitons, are generated. In particular, the Schwarzschild-like solution is a two-soliton-like solution.

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