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Solitons

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	SolitonsBoling Guo ... [et al.]
其他作者:	Guo, Boling.
出版者:	Berlin :De Gruyter,c2018.
面頁冊數:	1 online resource (376 p.)
標題:	Solitons.
電子資源:	http://www.degruyter.com/isbn/9783110549638
ISBN:	9783110549638$q(PDF)

Solitons
Solitons[electronic resource] /Boling Guo ... [et al.] - 1st ed. - Berlin :De Gruyter,c2018. - 1 online resource (376 p.)

Includes bibliographical references.

Frontmatter --

This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. ContentsIntroductionInverse scattering transformAsymptotic behavior to initial value problems for some integrable evolution nonlinear equationsInteraction of solitons and its asymptotic propertiesHirota methodBäcklund transformations and the infinitely many conservation lawsMulti-dimensional solitons and their stabilityNumerical computation methods for some nonlinear evolution equationsThe geometric theory of solitonsGlobal existence and blow up for the nonlinear evolution equationsThe soliton movements of elementary particles in nonlinear quantum fieldThe theory of soliton movement of superconductive featuresThe soliton movements in condensed state systemsontents

In English.

ISBN: 9783110549638$q(PDF)

Standard No.: 10.1515/9783110549638doiSubjects--Topical Terms:

207908
Solitons.

LC Class. No.: QC174.26.W28 / .S655 2018

Dewey Class. No.: 530.12/4

Solitons
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245 0 0 $a Solitons $h [electronic resource] / $c Boling Guo ... [et al.]
250 $a 1st ed.
260 $a Berlin : $b De Gruyter, $c c2018.
300 $a 1 online resource (376 p.)
504 $a Includes bibliographical references.
505 0 0 $t Frontmatter -- $t Contents -- $t 1. Introduction -- $t 2. Inverse scattering transform -- $t 3. Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations -- $t 4. Interaction of solitons and its asymptotic properties -- $t 5. Hirota method -- $t 6. Bäcklund transformations and the infinitely many conservation laws -- $t 7. Multi-dimensional solitons and their stability -- $t 8. Numerical computation methods for some nonlinear evolution equations -- $t 9. The geometric theory of solitons -- $t 10. Global existence and blow up for the nonlinear evolution equations -- $t 11. The soliton movements of elementary particles in nonlinear quantum field -- $t 12. The theory of soliton movement of superconductive features -- $t 13. The soliton movements in condensed state systems -- $t Bibliography.
520 $a This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. ContentsIntroductionInverse scattering transformAsymptotic behavior to initial value problems for some integrable evolution nonlinear equationsInteraction of solitons and its asymptotic propertiesHirota methodBäcklund transformations and the infinitely many conservation lawsMulti-dimensional solitons and their stabilityNumerical computation methods for some nonlinear evolution equationsThe geometric theory of solitonsGlobal existence and blow up for the nonlinear evolution equationsThe soliton movements of elementary particles in nonlinear quantum fieldThe theory of soliton movement of superconductive featuresThe soliton movements in condensed state systemsontents
546 $a In English.
588 0 $a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)
650 0 $a Solitons. $3 207908
650 0 $a Wave-motion, Theory of. $3 208684
700 1 $a Guo, Boling. $3 736399
856 4 0 $u http://www.degruyter.com/isbn/9783110549638