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

DOI10.1016/j.cnsns.2014.05.031zbMath1310.35208OpenAlexW2020631070MaRDI QIDQ2513870

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

Publication date: 29 January 2015

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.2014.05.031

zbMATH Keywords

solitonstationary solutionnonlinear wavechain modelkinkmKdV equationsoliton interactionparticle 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)

Related Items (4)

Helical solitons in vector modified Korteweg-de Vries equations ⋮ Beyond the KdV: Post-explosion development ⋮ Preface to the special issue NUMTA 2013 ⋮ Stationary solitary and kink solutions in the helicoidal Peyrard-Bishop model of DNA molecule

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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