Reprint of ``Nonlinear vector waves of a flexural mode in a chain model of atomic particles

DOI10.1016/j.cnsns.2014.10.017zbMath1329.35272OpenAlexW1995665456MaRDI QIDQ907215

S. P. Nikitenkova, N. Raj, Yury A. Stepanyants

Publication date: 25 January 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.10.017

zbMATH Keywords

solitonstationary solutionnonlinear wavechain modelkinksoliton interactionmKDV equationparticle interactionflexural modevector equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)

Cites Work

• Solitary wave solutions for a coupled pair of mKdV equations
• Nonlinear transverse waves in deformed dispersive solids
• Numerical solution of complex modified Korteweg-de Vries equation by collocation method
• Numerical solution of complex modified Korteweg-de Vries equation by Petrov-Galerkin method
• Numerical solution of complex modified Korteweg-de Vries equation by mesh-free collocation method
• Theory of nonlinear lattices.
• A split-step Fourier method for the complex modified Korteweg-de Vries equation.
• Non-linear waves in lattices: past, present, future
• Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method
• Nonlinear interactions of solitary waves in a 2D lattice.
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