Solitary-Wave Interactions in Elastic Rods (original) (raw)

Profile image of Ralph SaxtonRalph Saxton

1986, Studies in Applied Mathematics

Solitary waves on nonlinear elastic rods. I

P. Lomdahl

The Journal of the Acoustical Society of America, 1984

View PDFchevron_right

Computer simulation of solitary waves in a common or auxetic elastic rod with both quadratic and cubic nonlinearities

Cao Đức Long

physica status solidi (b), 2012

View PDFchevron_right

Solitary waves on nonlinear elastic rods. II

P. Lomdahl

The Journal of the Acoustical Society of America, 1987

View PDFchevron_right

Solitary and travelling waves in a rod

Ralph Saxton

Lecture Notes in Mathematics, 1982

View PDFchevron_right

Solitary waves in auxetic rods with quadratic nonlinearity: Exact analytical solutions and numerical simulations

Van Cao Long

Physica Status Solidi B-basic Solid State Physics, 2015

View PDFchevron_right

Strain solitary waves in an elastic rod embedded in another elastic external medium with sliding

Alexander Samsonov

Physical Review E, 1998

View PDFchevron_right

Improved description of longitudinal strain solitary waves

Alexey Porubov

Journal of Sound and Vibration, 2008

View PDFchevron_right

Longitudinal strain solitary waves in presence of cubic non-linearity

Alexey Porubov

International Journal of Non-Linear Mechanics, 2005

View PDFchevron_right

Interaction of highly nonlinear solitary waves with linear elastic media

Luigi De Nardo

Physical Review E, 2011

View PDFchevron_right

The nonlinear interaction of smooth travelling waves in an elastic string

Michael Shearer

Wave Motion, 1985

View PDFchevron_right

Loading...

Loading Preview

Sorry, preview is currently unavailable. You can download the paper by clicking the button above.

Dissipative Nonlinear Strain Waves in Solids

Alexey Porubov

Selected Topics in Nonlinear Wave Mechanics, 2002

View PDFchevron_right

On Boussinesq-type models for long longitudinal waves in elastic rods

Karima Khusnutdinova

Wave Motion, 2019

View PDFchevron_right

On a non-linear wave equation in elasticity

Bogdan Apostol

Physics Letters A, 2003

View PDFchevron_right

On nonlinearity parameters describing elastic wave interactions

Włodzimierz Domański

Proceedings of Meetings on Acoustics, 2018

View PDFchevron_right

Solitary waves in a magneto-electro-elastic circular rod

Ernian Pan

Smart Materials and Structures, 2011

View PDFchevron_right

Highly nonlinear solitary waves in chains of ellipsoidal particles

duc anh ngo

Physical Review E, 2011

View PDFchevron_right

Nonlinear interaction of plane elastic waves

Valeri Korneev

View PDFchevron_right

Investigation of bend and shear waves in a geometrically exact elastic rod model

Ricardo Cortez

Journal of Computational Physics, 2004

View PDFchevron_right

Planar Travelling Waves in Incompressible Elastic Rods

Stuart Antman

Methods and Applications of Analysis, 2004

View PDFchevron_right

Interactions of Nonlinear Waves in Fluid-Filled Elastic Tubes

Hilmi Demiray

Zeitschrift für Naturforschung A, 2007

View PDFchevron_right

Nonlinear Wave Propagation for a Strain Wave Equation of a Flexible Rod with Finite Deformation

adel Elmandouh

Symmetry

View PDFchevron_right

Kink-type solitary waves within the quasi-linear viscoelastic model

Gaetano Napoli

Wave Motion, 2019

View PDFchevron_right

Highly nonlinear solitary waves in chains of cylindrical particles

Ngô Minh Đức

Granular Matter, 2011

View PDFchevron_right

Comparison of classical and modern theories of longitudinal wave propagation in elastic rods

Igor Fedotov, HM. Tenkam, Michael Shatalov

View PDFchevron_right

Longitudinal Waves in Rods

Yuri Santos

View PDFchevron_right

Transverse waves in nonlinearly elastic solids and the Milne--Pinney (or Ermakov) equation

Michel Destrade

Mathematics and Mechanics of Solids, 2011

View PDFchevron_right

Contributions to the theory of longitudinal vibrations and wave propagation in rods and tubes: I. A mathematical model for linear elastic and hereditary elastic materials

Roberto Suárez-Ántola

View PDFchevron_right

Solitary waves in a granular chain of elastic spheres: Multiple solitary solutions and their stabilities

Guoliang Huang

Physical Review E, 2019

View PDFchevron_right

MathematicsApplied MathematicsPhysicsMathematical AnalysisPARTIAL DIFFERENTIAL EQUATIONNonlinear systemRODAmplitude