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Davydov soliton in alpha helical proteins: higher order and discreteness effects

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  • Daniel, M.
  • Deepamala, K.

Abstract

We consider the dynamics of Davydov's model of alpha helical proteins by including the effects of higher order molecular excitations and interactions and also the discreteness effect. In the continuum limit, the dynamics is found to be governed by a perturbed higher order non-linear Schrödinger equation which under appropriate limits reduces to the integrable cubic non-linear Schrödinger equation and also to an integrable higher order non-linear Schrödinger equation. A perturbation analysis of the equation shows that the higher order and discreteness effects do not change the velocity and amplitude of the Davydov soliton. An explicit form of the perturbed soliton solution has also been obtained.

Suggested Citation

  • Daniel, M. & Deepamala, K., 1995. "Davydov soliton in alpha helical proteins: higher order and discreteness effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(1), pages 241-255.
    • Handle: RePEc:eee:phsmap:v:221:y:1995:i:1:p:241-255
    DOI: 10.1016/0378-4371(95)00243-Z
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    1. Homma, F., 1983. "An electrical analogue to design subirrigation systems," Agricultural Water Management, Elsevier, vol. 6(4), pages 321-333, August.
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    Cited by:

    1. Tabi, Conrad Bertrand, 2018. "Fractional unstable patterns of energy in α−helix proteins with long-range interactions," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 386-391.
    2. Daniel, M. & Latha, M.M., 1997. "Soliton in discrete and continuum alpha helical proteins with higher-order excitations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(3), pages 526-546.
    3. Vakhnenko, Oleksiy O. & Vakhnenko, Vyacheslav O. & Verchenko, Andriy P., 2023. "Dipole–monopole alternative as the precursor of pseudo-excitonic chargeless half-mode in an integrable nonlinear exciton–phonon system on a regular one-dimensional lattice," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).

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