scholarly journals Study on the solitary wave solutions of the ionic currents on microtubules equation by using the modified Khater method

2019 ◽  
Vol 23 (Suppl. 6) ◽  
pp. 2053-2062 ◽  
Author(s):  
Jing Li ◽  
Yuyang Qiu ◽  
Dianchen Lu ◽  
Raghda Attia ◽  
Mostafa Khater
Keyword(s):  
Solitary Wave ◽  
Ionic Current ◽  
Ionic Currents ◽  
Solitary Wave Solutions ◽  
Linear Partial Differential Equations ◽  
Wave Solutions ◽  
Non Linear ◽  
The Stability ◽  
Main Components ◽  
And Function

In this survey, the ionic current along microtubules equation is handled by applying the modified Khater method to get the solitary wave solutions that describe the ionic transport throughout the intracellular environment which describes the behavior of many applications in a biological non-linear dispatch line for ionic currents. The obtained solutions support many researchers who are concerned with the discussion of the physical properties of the ionic currents along microtubules. Microtubules are one of the main components of the cytoskeleton, and function in many operations, comprehensive constitutional backing, intracellular transmit, and DNA division. Moreover, we also study the stability property of our obtained solutions. All obtained solutions are verified by backing them into the original equation by using MAPLE 18 and MATHEMATICA 11.2. These solutions show the power and effective of the used method and its ability for applying to many other different forms of non-linear partial differential equations.

scholarly journals Solitary wave solutions of the ionic currents along microtubule dynamical equations via analytical mathematical method

Open Physics ◽  
2021 ◽  
Vol 19 (1) ◽  
pp. 494-503
Author(s):  
Noufe H. Aljahdaly ◽  
Amjad F. Alyoubi ◽  
Aly R. Seadawy
Keyword(s):  
Solitary Wave ◽  
Ionic Currents ◽  
Periodic Wave ◽  
Periodic Wave Solution ◽  
Solitary Wave Solutions ◽  
Dynamical Equations ◽  
Wave Solutions ◽  
Free Parameters ◽  
The Stability ◽  
Physical Phenomena

Abstract In this article, a new generalized exponential rational function method (GERFM) is employed to extract new solitary wave solutions for the ionic currents along microtubules dynamical equations, which is very interested in nanobiosciences. In this article, the stability of the solutions is also studied. As a result, a variety of solitary waves are obtained with free parameters such as periodic wave solution and dark and bright solitary wave solutions. The solutions are plotted and used to describe physical phenomena of the problem. The work shows the power of GERFM. We found that the proposed method is reliable and effective and gives analytical and exact solutions.

Quasi-soliton and other behaviour of the nonlinear cubic-quintic Schrödinger equation

1986 ◽  
Vol 64 (3) ◽  
pp. 311-315 ◽  
Author(s):  
Stuart Cowan ◽  
R. H. Enns ◽  
S. S. Rangnekar ◽  
Sukhpal S. Sanghera
Keyword(s):  
Solitary Wave ◽  
Schrödinger Equation ◽  
Parameter Space ◽  
Schrodinger Equation ◽  
Solitary Wave Solutions ◽  
Wave Interactions ◽  
Wave Solutions ◽  
The Stability

The stability of the solitary-wave solutions of the nonlinear cubic–quintic Schrödinger equation (NLCQSE) is examined numerically. The solutions are found not to be solitons, but quasi-soliton behaviour is found to persist over wide regions of parameter space. Outside these regions dispersive and explosive behaviour is observed in solitary-wave interactions.

scholarly journals Novel solitary wave solutions in parabolic law medium with weak non-local non-linearity

2021 ◽  
Vol 25 (Spec. issue 2) ◽  
pp. 239-246
Author(s):  
Mostafa Khater ◽  
Raghda Attia ◽  
Sayed Elagan ◽  
Meteub Alharthi
Keyword(s):  
Solitary Wave ◽  
Auxiliary Equation ◽  
Solitary Wave Solutions ◽  
Linear Dispersion ◽  
Auxiliary Equation Method ◽  
Wave Solutions ◽  
Parabolic Law ◽  
All Solutions ◽  
Non Linear ◽  
Non Local

In this paper, the auxiliary equation method is employed to construct novel solitary wave solutions of the dimensionless form of the non-linear Schrodinger equation with parabolic law of non-linearity in the presence of non-linear dispersion. The solutions are represented through various techniques to demonstrate the dynamical and physical behavior of the investigated models. All solutions are checked their accuracy by putting them back into the original model?s equation by MATHEMATICA 12.

Stability of solitary wave solutions of simultaneous nonlinear Schrödinger equations

1982 ◽  
Vol 28 (3) ◽  
pp. 379-383 ◽  
Author(s):  
J. C. Bhakta ◽  
M. R. Gupta
Keyword(s):  
Solitary Wave ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Solitary Wave Solutions ◽  
Nonlinear Schrödinger ◽  
Wave Solutions ◽  
Nonlinear Schrodinger Equations ◽  
Different Types ◽  
The Stability

The stability of localized solitary wave solutions of simultaneous nonlinear Schrödinger equations describing different types of interacting waves in a plasma has been investigated. It is found that the stability depends on the nature and strength of the interaction potential between the two waves. The possible results of interactions between two colliding solitary waves have been discussed using the conservation laws.

Sign in / Sign up

Export Citation Format

Share Document