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    •   BracU IR
    • Department of Mathematics and Natural Sciences (MNS)
    • Bachelor of Science in Mathematics
    • Thesis (Bachelor of Science in Mathematics)
    • View Item
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    Analytical solution of non-linear partial differential equation by using the extended (𝐆′/𝐆) expansion method with non-linear auxiliary equation

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    15116004_MATH.pdf (1.375Mb)
    Date
    2018-03-01
    Publisher
    BRAC Univeristy
    Author
    Karmaker, Bishwajit
    Metadata
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    URI
    http://hdl.handle.net/10361/9801
    Abstract
    Among some new methods, these were introduced to find the exact solution of Non-Linear Partial Differential Equations (NLPDEs), (G'/G) expansion method proposed by Mingliang Wang, is straightforward and easy to handle as it gives rich new solutions. On the other hand, Solitons play a dynamic role in the field of engineering applications and, nonlinear science and it delivers more perception into the related nonlinear scientific occurrences by leading to forthcoming scientific research. So, to check the validity and effectiveness of our method we have implemented the extended (G'/G) expansion method to the (2+1) dimensional breaking soliton equation. The outcomes we have found here, are more common, successfully recovered the most of the earlier recognized results which have been established by other sophisticated methods. We have found some new results as well which will lead us to study some new phenomena in future. We have stated the travelling wave solutions here by three types of family. They are the hyperbolic family, the trigonometric family and, the rational family. The results along with the graphical illustration have revealed the high productivity of this algorithm with trustworthiness.
    Keywords
    Nonlinear partial differential equation; Rational function; Partial differential equation
     
    Description
    This thesis is submitted in a partial fulfilment of the requirements for the degree of Bachelor of Science in Mathematics 2018.
     
    Catalogued from PDF version of thesis.
     
    Includes bibliographical references (page 60-67).
    Department
    Department of Mathematics and Natural Sciences, BRAC University
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    • Thesis (Bachelor of Science in Mathematics)

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