Beyond Nonlinear Schrödinger Equation Approximation for an Anharmonic Chain with Harmonic Long Range Interactions

DOI10.2991/jnmp.2001.8.s.24zbMath0976.35080arXivsolv-int/9910006OpenAlexW4240345944MaRDI QIDQ2732470

Dan Grecu, A. S. Carstea, Anca Visinescu

Publication date: 2 January 2002

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9910006

zbMATH Keywords

nonlinear differential-difference equation\(\alpha\)-helix structure in proteinmolecule oscillationsspace-time evolution of the leading amplitude

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Biochemistry, molecular biology (92C40) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (1)

Long-range interactions in \(\alpha \)-helical proteins with interspine coupling: modulational instability and exact soliton solutions

Cites Work

• Unnamed Item
• Multiple-scale perturbation beyond the nonlinear Schrödinger equation. I
• Higher Order Approximation in the Reductive Perturbation Method. II. The Strongly Dispersive System
• The Korteweg–de Vries hierarchy and long water-waves

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