Solitons and conservation laws in neurosciences

Anjan Biswas; Abdul H. Kara; Michelle Savescu; Ashfaque H. Bokhari; F. D. Zaman

doi:10.1142/S1793524513500174

Solitons and conservation laws in neurosciences

Anjan Biswas
, Abdul H. Kara
, Michelle Savescu
, Ashfaque H. Bokhari
, F. D. Zaman

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

This paper obtains the 1-soliton solution by the ansatz method for the proposed model that governs the propagation of solitons through the neurons. This model is an improved one that describes the solitons in neurosciences more accurately. The ansatz method is applied to obtain the 1-soliton solution to the model. The Lie symmetry analysis is subsequently applied to obtain the conservation laws for the model.

Original language	English
Article number	1350017
Journal	International Journal of Biomathematics
Volume	6
Issue number	3
DOIs	https://doi.org/10.1142/S1793524513500174
State	Published - May 2013

Keywords

Solitons
conservation laws
integrability
neuroscience

ASJC Scopus subject areas

Modeling and Simulation
Applied Mathematics

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10.1142/S1793524513500174

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abstract = "This paper obtains the 1-soliton solution by the ansatz method for the proposed model that governs the propagation of solitons through the neurons. This model is an improved one that describes the solitons in neurosciences more accurately. The ansatz method is applied to obtain the 1-soliton solution to the model. The Lie symmetry analysis is subsequently applied to obtain the conservation laws for the model.",

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KW - conservation laws

KW - integrability

KW - neuroscience

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Solitons and conservation laws in neurosciences

Abstract

Keywords

ASJC Scopus subject areas

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