An exact solution for the modified nonlinear Schrödinger's equation for Davydov solitons in \(\alpha \)-helix proteins

DOI10.1016/j.mbs.2010.05.008zbMath1195.81047OpenAlexW2003741754WikidataQ51682961 ScholiaQ51682961MaRDI QIDQ991534

Keka C. Biswas, Allison Moran, Anjan Biswas, Daniela M. Milovic, Fayequa B. Majid

Publication date: 7 September 2010

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2010.05.008

zbMATH Keywords

exact solution integrability solitons \(\alpha \)-helix proteins Davydov solitons

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Biophysics (92C05) Soliton equations (35Q51) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (8)

On the quantum dynamics of Davydov solitons in protein \(\alpha\)-helices ⋮ SOLITONS AND CONSERVATION LAWS IN NEUROSCIENCES ⋮ Alternate way of soliton solutions in hydrogen-bonded chain ⋮ Numerical Simulation of Non-Linear Schrodinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution ⋮ Soliton excitations in a three-spine alpha-helical protein chain with quintic non-linearity ⋮ Nonlinear excitations in a disordered alpha-helical protein chain ⋮ Multisoliton solutions and stability aspects of higher order discrete nonlinear Schrödinger equation governing protein dynamics ⋮ Effect of inhomogeneity in energy transfer through alpha helical proteins with interspine coupling

Cites Work

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