Existence of bounded soliton solutions in the problem of longitudinal oscillations of an elastic infinite rod in a field with a nonlinear potential of general form

DOI10.1134/S0965542522060033zbMath1495.39002OpenAlexW4285407778MaRDI QIDQ2155342

Yanyan Li

Publication date: 15 July 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522060033

zbMATH Keywords

wave equationsoliton solutionsnonlinear potential

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Soliton equations (35Q51) Discrete version of topics in analysis (39A12)

Cites Work

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• On the existence of periodic and bounded solutions for functional differential equations of pointwise type with a strongly nonlinear right-hand side
• Theory of nonlinear lattices
• Existence of traveling wavefront solutions for the discrete Nagumo equation
• The global structure of traveling waves in spatially discrete dynamical systems
• Existence of bounded soliton solutions in the problem of longitudinal vibrations of an infinite elastic rod in a field with a strongly nonlinear potential
• Functional differential equations. Transl. from the Russian
• Quasitravelling waves
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• Infinite-dimensional non-linear ordinary differential equations and the KAM theory
• Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice
• A new approach to the question of the existence of bounded solutions of functional differential equations of point type

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