Nonlinear dynamics of oriented elastic solids. II: Propagation of solitons
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Publication:911843
DOI10.1007/BF00041109zbMath0697.73018WikidataQ56967932 ScholiaQ56967932MaRDI QIDQ911843
Publication date: 1989
Published in: Journal of Elasticity (Search for Journal in Brave)
nonlinear wave propagationcoupled rotation-displacement motionsset of nonlinear dispersive equationssoliton type
Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Thermodynamics in solid mechanics (74A15) Statistical mechanics of crystals (82D25) Theory of constitutive functions in solid mechanics (74A20)
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Cites Work
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- Nonlinear dynamics of oriented elastic solids. I: Basic equations
- Numerical study of \(2+1\) dimensional sine-Gordon solitons
- Dynamics of a bar of asymmetric cross-section
- Nonlinear dynamics in driven, damped sine-Gordon systems
- Solitary waves in micropolar elastic crystals
- Multi-(Resonant-Soliton)-Soliton Solutions an Vortex-Like Solutions to Two- and Three-Dimensional Sine-Gordon Equations
- The History of the Soliton
- Solutions of the sine-Gordon equation in higher dimensions
- Coupled acoustic–optic modes in deformable ferroelectrics
- Exact, multiple soliton solutions of the double sine Gordon equation
- Nonlinear stability problems for the sine-Gordon equation
