國立高雄大學圖資館 |

登入

回首頁

Analytical approach in nonlinear dispersive media

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Analytical approach in nonlinear dispersive mediaby Emmanuel Kengne, Wu-Ming Liu.
作者:	Kengne, Emmanuel.
其他作者:	Liu, Wu-Ming.
出版者:	Singapore :Springer Nature Singapore :2025.
面頁冊數:	xxiv, 746 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Nonlinear wavesMathematical models.
電子資源:	https://doi.org/10.1007/978-981-96-8717-6
ISBN:	9789819687176$q(electronic bk.)

Analytical approach in nonlinear dispersive media
Kengne, Emmanuel.

Analytical approach in nonlinear dispersive media[electronic resource] /by Emmanuel Kengne, Wu-Ming Liu. - Singapore :Springer Nature Singapore :2025. - xxiv, 746 p. :ill. (some col.), digital ;24 cm. - Springer series in solid-state sciences,v. 2102197-4179 ;. - Springer series in solid-state sciences ;159..

1. Modulational instability of one-component Bose-Einstein condensate -- 2. Matter-wave solitons of Bose-Einstein condensates in periodic potentials -- 3. Modulational instability and soliton interactions in Bose-Einstein condensates -- 4. Engineering localized waves in Gross-Pitaevskii equations with time-dependent trapping potentials -- 5. Baseband modulational instability and interacting localized mixed waves in nonlinear media.

This book presents an analytical approach to treating several topics of current interest in the field of nonlinear partial differential equations and their applications to electrical and communications engineering, the physics of nonlinear dispersive media, as well as the nonlinear wave interactions. It treats analytically Ginzburg-Landau and wave equations such as higher-order nonlinear Schrodinger equations with/without dissipative terms, Gross-Pitaevskii equations with complicated potential terms, and cubic-quintic Ginzburg-Landau equations. For solving analytically various problems of mathematical physics in nonlinear dispersive media, the book explanatorily and carefully applies several powerful methods drawn from recent leading research articles. Special attentions are paid to the modulational instability phenomenon and baseband modulational instability phenomenon in nonlinear dispersive media. The theoretical results of this book are supplemented by numerical calculations and graphical illustrations. This book is intended for scientific researchers working in the field of nonlinear waves; it will be particularly useful for applied mathematicians, theoretical physicists, as well as electrical and communications engineers.

ISBN: 9789819687176$q(electronic bk.)

Standard No.: 10.1007/978-981-96-8717-6doiSubjects--Topical Terms:

1000220
Nonlinear waves
--Mathematical models.

LC Class. No.: QC174.24.N6

Dewey Class. No.: 531.1133

Analytical approach in nonlinear dispersive media
LDR:02763nmm a2200337 a 4500 001 686107
003 DE-He213
005 20250831130220.0
006 m d
007 cr nn 008maaau
008 260209s2025 si s 0 eng d
020 $a 9789819687176$q(electronic bk.)
020 $a 9789819687169$q(paper)
024 7 $a 10.1007/978-981-96-8717-6 $2 doi
035 $a 978-981-96-8717-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.24.N6
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 531.1133 $2 23
090 $a QC174.24.N6 $b K33 2025
100 1 $a Kengne, Emmanuel. $3 836708
245 1 0 $a Analytical approach in nonlinear dispersive media $h [electronic resource] / $c by Emmanuel Kengne, Wu-Ming Liu.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2025.
300 $a xxiv, 746 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer series in solid-state sciences, $x 2197-4179 ; $v v. 210
505 0 $a 1. Modulational instability of one-component Bose-Einstein condensate -- 2. Matter-wave solitons of Bose-Einstein condensates in periodic potentials -- 3. Modulational instability and soliton interactions in Bose-Einstein condensates -- 4. Engineering localized waves in Gross-Pitaevskii equations with time-dependent trapping potentials -- 5. Baseband modulational instability and interacting localized mixed waves in nonlinear media.
520 $a This book presents an analytical approach to treating several topics of current interest in the field of nonlinear partial differential equations and their applications to electrical and communications engineering, the physics of nonlinear dispersive media, as well as the nonlinear wave interactions. It treats analytically Ginzburg-Landau and wave equations such as higher-order nonlinear Schrodinger equations with/without dissipative terms, Gross-Pitaevskii equations with complicated potential terms, and cubic-quintic Ginzburg-Landau equations. For solving analytically various problems of mathematical physics in nonlinear dispersive media, the book explanatorily and carefully applies several powerful methods drawn from recent leading research articles. Special attentions are paid to the modulational instability phenomenon and baseband modulational instability phenomenon in nonlinear dispersive media. The theoretical results of this book are supplemented by numerical calculations and graphical illustrations. This book is intended for scientific researchers working in the field of nonlinear waves; it will be particularly useful for applied mathematicians, theoretical physicists, as well as electrical and communications engineers.
650 0 $a Nonlinear waves $x Mathematical models. $3 1000220
650 1 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Condensed Matter Physics. $3 376278
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Nonlinear Optics. $3 913464
700 1 $a Liu, Wu-Ming. $3 836707
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Springer series in solid-state sciences ; $v 159. $3 513700
856 4 0 $u https://doi.org/10.1007/978-981-96-8717-6
950 $a Physics and Astronomy (SpringerNature-11651)