Modified extended tanh-function method and nonlinear dynamics of microtubules

DOI10.1016/J.CHAOS.2012.07.009zbMath1258.35196arXiv1205.6619OpenAlexW2059324865MaRDI QIDQ1937606

Miljko V. Satarić, Louis Kavitha, Slobodan Zdravković, Slobodan Zeković, Jovana S. Petrović

Publication date: 1 March 2013

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.6619

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Analyticity in context of PDEs (35A20)

Related Items (10)

A nonlinear model of the dynamics of radial dislocations in microtubules ⋮ Are microtubules discrete or continuum systems? ⋮ Microtubules lattice equal-frequency maps: the dynamics of relief changes in dependence on elastic properties, tubulins' dipole-dipole interaction and viscosity ⋮ Two component model of microtubules and continuum approximation ⋮ Localized modes in a variety of driven long Josephson junctions with phase shifts ⋮ Kinks and bell-type solitons in microtubules ⋮ Non-Symmetrical W-potential in Nonlinear Biophysics of Microtubules ⋮ Application of conservation theorem and modified extended tanh-function method to (1+1)-dimensional nonlinear coupled Klein-Gordon-Zakharov equation ⋮ Nonlinear dynamics of microtubules and series expansion unknown function method ⋮ Localized modulated waves and longitudinal model of microtubules

Cites Work

• Exact solitary solutions of an inhomogeneous modified nonlinear Schrödinger equation with competing nonlinearities
• The modified extended tanh-function method for solving coupled MKdV and coupled Hirota-Satsuma coupled KdV equations
• New exact shape changing solitary solutions of a generalized Hirota equation with nonlinear inhomogeneities
• New exact travelling wave solutions using modified extended tanh-function method

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