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 .

scholarly journals Global existence and decay estimates for nonlinear wave equations with space-time dependent dissipative term

2015 ◽  
Vol 12 (02) ◽  
pp. 249-276
Author(s):  
Tomonari Watanabe
Keyword(s):  
Global Existence ◽  
Nonlinear Wave ◽  
Wave Equations ◽  
Space Time ◽  
Time Dependent ◽  
Nonlinear Wave Equations ◽  
Energy Estimates ◽  
Space Region ◽  
Decay Estimates ◽  
Dissipative Term

We study the global existence and the derivation of decay estimates for nonlinear wave equations with a space-time dependent dissipative term posed in an exterior domain. The linear dissipative effect may vanish in a compact space region and, moreover, the nonlinear terms need not be in a divergence form. In order to establish higher-order energy estimates, we introduce an argument based on a suitable rescaling. The proposed method is useful to control certain derivatives of the dissipation coefficient.

scholarly journals Weakly coupled heat bath models for Gibbs-like invariant states in nonlinear wave equations

Nonlinearity ◽  
2013 ◽  
Vol 26 (7) ◽  
pp. 1945-1973 ◽  
Author(s):  
J Bajars ◽  
J E Frank ◽  
B J Leimkuhler
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Heat Bath ◽  
Nonlinear Wave Equations ◽  
Weakly Coupled ◽  
Invariant States

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

New Rational Form Solutions to Coupled Nonlinear Wave Equations

2005 ◽  
Vol 44 (2) ◽  
pp. 235-242 ◽  
Author(s):  
Zun-Tao Fu ◽  
Guang-Xing Lin ◽  
Shi-Kuo Liu ◽  
Shi-Da Liu
Keyword(s):  
Nonlinear Wave ◽  
Wave Equations ◽  
Nonlinear Wave Equations ◽  
Rational Form
Sign in / Sign up

Export Citation Format

Share Document