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On Approximating Solitary Wave Solutions for the Classical Euler Equations.

Record Type:	Electronic resources : Monograph/item
Title/Author:	On Approximating Solitary Wave Solutions for the Classical Euler Equations.
Author:	Paez, Julio C.
Published:	Ann Arbor : ProQuest Dissertations & Theses, 2022
Description:	32 p.
Notes:	Source: Masters Abstracts International, Volume: 84-03.
Notes:	Advisor: Vatchev, Vesselin.
Contained By:	Masters Abstracts International84-03.
Subject:	Applied mathematics.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28969463
ISBN:	9798841728498

On Approximating Solitary Wave Solutions for the Classical Euler Equations.
Paez, Julio C.

On Approximating Solitary Wave Solutions for the Classical Euler Equations. - Ann Arbor : ProQuest Dissertations & Theses, 2022 - 32 p.

Source: Masters Abstracts International, Volume: 84-03.

Thesis (M.S.)--The University of Texas Rio Grande Valley, 2022.

This item must not be sold to any third party vendors.

In this paper, we use a method based on Hirota substitution or the Wronskian method to find approximate solitary wave solutions to the classical Euler equations. This method uses a small parameter lambda as the basis of approximation, a parameter derived from the form of prospective solutions we consider, rather than the standard small parameters alpha and beta. The L-infinity norm and asymptotic notation are used to measure the accuracy of the approximation rather than finding the error explicitly.

ISBN: 9798841728498Subjects--Topical Terms:

377601
Applied mathematics.
Subjects--Index Terms:

Solitary wave solutions

On Approximating Solitary Wave Solutions for the Classical Euler Equations.
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100 1 $a Paez, Julio C. $3 942367
245 1 0 $a On Approximating Solitary Wave Solutions for the Classical Euler Equations.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2022
300 $a 32 p.
500 $a Source: Masters Abstracts International, Volume: 84-03.
500 $a Advisor: Vatchev, Vesselin.
502 $a Thesis (M.S.)--The University of Texas Rio Grande Valley, 2022.
506 $a This item must not be sold to any third party vendors.
520 $a In this paper, we use a method based on Hirota substitution or the Wronskian method to find approximate solitary wave solutions to the classical Euler equations. This method uses a small parameter lambda as the basis of approximation, a parameter derived from the form of prospective solutions we consider, rather than the standard small parameters alpha and beta. The L-infinity norm and asymptotic notation are used to measure the accuracy of the approximation rather than finding the error explicitly.
590 $a School code: 1863.
650 4 $a Applied mathematics. $3 377601
650 4 $a Mathematics. $3 184409
650 4 $a Theoretical mathematics. $3 708655
653 $a Solitary wave solutions
653 $a Classical Euler equations
653 $a Hirota substitution
653 $a Wronskian method
690 $a 0364
690 $a 0405
690 $a 0642
710 2 $a The University of Texas Rio Grande Valley. $b School of Mathematical and Statistical Sciences. $3 942368
773 0 $t Masters Abstracts International $g 84-03.
790 $a 1863
791 $a M.S.
792 $a 2022
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28969463