The Gardner Equation in Elastodynamics
DOI10.1137/21M1407537zbMath1478.35141OpenAlexW3211533934MaRDI QIDQ5164715
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Publication date: 12 November 2021
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1407537
Boussinesq equationnonlinear elasticityflatonsdispersive phenomena in nonlinear elastic solidsno dissipative termsl
KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear elasticity (74B20) Solitary waves in solid mechanics (74J35) Soliton solutions (35C08) Second-order quasilinear hyperbolic equations (35L72) Initial-boundary value problems for second-order hyperbolic systems (35L53)
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Cites Work
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- Solitons in elastic solids (1938--2010)
- Nonlinear transverse waves in deformed dispersive solids
- Acceleration waves and shock waves in transversely isotropic elastic non- conductors
- Waves in nonlinear pre-stressed materials. Papers based on the presentation at CISM course, Udine, Italy, September 2006.
- Constitutive relations for Rivlin-Ericksen fluids based on generalized rational approximation
- Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods
- Helmholtz-type solitary wave solutions in nonlinear elastodynamics
- Flatons: flat-top solitons in extended Gardner-like equations
- Nonlinear elastodynamics of materials with strong ellipticity condition: Carroll-type solutions
- Asymptotic analysis of the buckling of imperfect columns on nonlinear elastic foundations
- Long nonlinear strain waves in layered elastic half-space
- Solitary and compactlike shear waves in the bulk of solids
- Continuum model of dispersion caused by an inherent material characteristic length
- Dispersive and Diffusive-Dispersive Shock Waves for Nonconvex Conservation Laws
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Solitary waves on nonlinear elastic rods. I
- A New Type of Burgers' Equation
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Carroll-type deformations in nonlinear elastodynamics
- Linearly polarized waves of finite amplitude in pre-strained elastic materials
- Creep, Recovery, and Waves in a Nonlinear Fiber-Reinforced Viscoelastic Solid
- Fermi–Pasta–Ulam, solitons and the fabric of nonlinear and computational science: History, synergetics, and visiometrics
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