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  <front>    <journal-meta>
      <journal-title>Scientific Research and Essays</journal-title>
      <issn pub-type="epub">1992-2248</issn>      <publisher>
        <publisher-name>Academic Journals</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5897/SRE2013.5772</article-id>
      <title-group>
        <article-title><![CDATA[The improved generalized Riccati equation mapping method and its application for solving a nonlinear partial differential equation (PDE) describing the dynamics of ionic currents along microtubules]]></article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" xlink:type="simple">
        		        	<name name-style="western">
	            <surname>Elsayed</surname>
            <given-names>M. E. Zayed</given-names>
	          </name>	
        		        	<name name-style="western">
	            <surname>Yasser</surname>
            <given-names>A. Amer</given-names>
	          </name>	
        		        	<name name-style="western">
	            <surname>Reham</surname>
            <given-names>M. A. Shohib</given-names>
	          </name>	
        	        </contrib>
      </contrib-group>
      <author-notes>
		<corresp id="cor1">* E-mail: <email xlink:type="simple">e.m.e.zayed@hotmail.com</email></corresp>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2014</year>
      </pub-date>
      <pub-date pub-type="epub">
      	<day>30</day>
        <month>04</month>
        <year>2014</year>
      </pub-date>
      <history>
      			<date date-type="received">
			<day>10</day>
			<month>12</month>
			<year>2013</year>
		</date>
						<date date-type="accepted">
			<day>10</day>
			<month>04</month>
			<year>2014</year>
		</date>
			  </history>
      <volume>9</volume>
      <issue>8</issue>
	  	  <fpage>238</fpage>
	  <lpage>248</lpage>
      <permissions>
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			This is an open-access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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	  <self-uri xlink:href="http://politicalwaffle.uk/journal/SRE/article-abstract/1AF04F344192">
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		The full text article is available as a PDF file from http://politicalwaffle.uk/journal/SRE/article-full-text-pdf/1AF04F344192	  </self-uri>
	  
      <abstract><![CDATA[In this paper we apply the improved Riccati equation mapping method to construct many families of exact solutions of a nonlinear partial differential equation involving parameters of a special interest in nanobiosciences and biophysics which describe a model of microtubules as nonlinear RLC transmission lines. As results, we can successfully recover the previously known results that have been found using other methods. This method is straightforward and concise, and it can be applied to other nonlinear PDEs in mathematical physics. Comparison between our new results and the well-known results are given. Some comments on the well-known results are also presented at the end of this article.

	 

	Key words: Improved Riccati equation mapping method, exact traveling wave solutions, nonlinear partial differential equations (PDEs) of microtubules, Nonlinear RLC transmission lines.

	 

	PACS: 02.30.Jr, 05.45.Yv, 02.30.Ik]]></abstract>
    </article-meta>
  </front>
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