scholarly journals Two types of nonlinear wave equations for diffractive beams in bubbly liquids with nonuniform bubble number density

2015 ◽  
Vol 137 (5) ◽  
pp. 2642-2654 ◽  
Author(s):  
Tetsuya Kanagawa
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Nonlinear Wave Equations ◽  
Number Density ◽  
Bubbly Liquids ◽  
Bubble Number ◽  
Bubble Number Density

Derivation of nonlinear wave equations for ultrasound beam in nonuniform bubbly liquids

2012 ◽  
Author(s):  
Tetsuya Kanagawa ◽  
Takeru Yano ◽  
Junya Kawahara ◽  
Kazumichi Kobayashi ◽  
Masao Watanabe ◽  
...  
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Nonlinear Wave Equations ◽  
Ultrasound Beam ◽  
Bubbly Liquids

scholarly journals Unified Theory Based on Parameter Scaling for Derivation of Nonlinear Wave Equations in Bubbly Liquids

2010 ◽  
Vol 5 (3) ◽  
pp. 351-369 ◽  
Author(s):  
Tetsuya KANAGAWA ◽  
Takeru YANO ◽  
Masao WATANABE ◽  
Shigeo FUJIKAWA
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Nonlinear Wave Equations ◽  
Unified Theory ◽  
Bubbly Liquids

scholarly journals A uniqueness result for the Sine-Gordon breather

2021 ◽  
Vol 2 (2) ◽  
Author(s):  
Rainer Mandel
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Uniqueness Result ◽  
Nonlinear Wave Equations

AbstractIn this note we prove that the sine-Gordon breather is the only quasimonochromatic breather in the context of nonlinear wave equations in $$\mathbb {R}^N$$ R N .

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