On the existence of gap solitons

DOI10.1016/S0167-2789(00)00138-XzbMath0978.35069OpenAlexW2065823706MaRDI QIDQ5940296

Georgy L. Alfimov, Vladimir V. Konotop

Publication date: 29 July 2001

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(00)00138-x

zbMATH Keywords

nonlinear wave equationshock wavesharmonic generation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (5)

Moving gap solitons in periodic potentials ⋮ Non-trivial periodic solutions of a non-linear Hill's equation with positively homogeneous term ⋮ Control aspects in nonlinear Hill's equation ⋮ Justification of the coupled-mode approximation for a nonlinear elliptic problem with a periodic potential ⋮ A note on the periodic solutions of a Mathieu–Duffing type equations

Cites Work

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• Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
• Use of pseudo-differential operator in estimating the rate of wave propagation in a problem of mechanics
• A numerical calculation of a weakly non-local solitary wave: the ϕ⁴breather
• Weakly Nonlocal Solitary Waves in a Singularly Perturbed Korteweg–De Vries Equation

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