Exact solution to the problem of nonlinear pulse propagation through random layered media and its connection with number triangles

DOI10.1016/j.aop.2007.05.004zbMath1201.74164OpenAlexW2025746330MaRDI QIDQ996345

Surajit Sen, Adam Sokolow

Publication date: 14 September 2007

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2007.05.004

zbMATH Keywords

Pascal triangleCatalan trianglebackscattered energyenergy transmission

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Nonlinear waves in solid mechanics (74J30) Soil and rock mechanics (74L10) Random structure in solid mechanics (74E35)

Related Items (1)

Binary collision approximation for multi-decorated granular chains

Cites Work

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• A Catalan triangle
• Pascal triangles, Catalan numbers and renewal arrays
• A time-reversal method for an acoustical pulse propagating in randomly layered media
• A multiple scattering theory for elastic wave propagation in discrete random media
• Theory of intense electromagnetic pulse propagation through the atmosphere
• Impulse propagation in dissipative and disordered chains with power-law repulsive potentials

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