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On Approximating Solitary Wave Solutions for the Classical Euler Equations.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	On Approximating Solitary Wave Solutions for the Classical Euler Equations./
作者:	Paez, Julio C.
面頁冊數:	1 online resource (32 pages)
附註:	Source: Masters Abstracts International, Volume: 84-03.
Contained By:	Masters Abstracts International84-03.
標題:	Applied mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28969463click for full text (PQDT)
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. - 1 online resource (32 pages)

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

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

Includes bibliographical references

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.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9798841728498Subjects--Topical Terms:

2122814
Applied mathematics.
Subjects--Index Terms:

Solitary wave solutionsIndex Terms--Genre/Form:

542853
Electronic books.

On Approximating Solitary Wave Solutions for the Classical Euler Equations.
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245 1 0 $a On Approximating Solitary Wave Solutions for the Classical Euler Equations.
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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.
504 $a Includes bibliographical references
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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2023
538 $a Mode of access: World Wide Web
650 4 $a Applied mathematics. $3 2122814
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
653 $a Solitary wave solutions
653 $a Classical Euler equations
653 $a Hirota substitution
653 $a Wronskian method
655 7 $a Electronic books. $2 lcsh $3 542853
690 $a 0364
690 $a 0405
690 $a 0642
710 2 $a ProQuest Information and Learning Co. $3 783688
710 2 $a The University of Texas Rio Grande Valley. $b School of Mathematical and Statistical Sciences. $3 3684059
773 0 $t Masters Abstracts International $g 84-03.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28969463 $z click for full text (PQDT)