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Nonlinear waves : = an introduction /

Popivanov, Peter R.

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Nonlinear waves : = an introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Nonlinear waves :/ Petar Popivanov, Angela Slavova.
其他題名:	an introduction /
作者:	Popivanov, Peter R.
其他作者:	Slavova, Angela.
出版者:	Singapore ;World Scientific, : c2011.,
面頁冊數:	x, 168 p. :ill. ;24 cm.
標題:	Nonlinear wave equations. -
ISBN:	9789814322126 (hbk.) :

Nonlinear waves : = an introduction /
Popivanov, Peter R.

Nonlinear waves :an introduction /Petar Popivanov, Angela Slavova. - Singapore ;World Scientific,c2011. - x, 168 p. :ill. ;24 cm. - Series on analysis, applications and computation,v. 41793-4702 ;. - Series on analysis, applications and computation ;4..

Includes bibliographical references (p. 159-165) and index.

This book deals with equations of mathematical physics as the different modifications of the KdV equation, the Camassa-Holm type equations, several modifications of Burger's equation, the Hunter-Saxton equation and others. The equations originate form physics but are proposed here for their investigation via purely mathematical methods in the frames of university courses. More precisely, the authors propose classification theorems for the traveling wave solutions for a sufficiently large class of third order nonlinear PDE when the corresponding profiles develop different kind of singularities (cusps, peaks). The orbital stability of the periodic solutions of traveling type for mKdV equations are also studied. Of great interest too is the interaction of peakon type solutions of the Camassa-Holm equation and the solvability of the classical and generalized Cauch problem for the Hunter-Saxton equation. The Riemann problem for special systems of conservation laws and the corresponding d-shocks are also considered. At the end of the book the authors study the interaction of two piecewise smooth waves in the case of two space variables and they verify the appearance of logarithmic singularities. As it concerns numerical methods in the case of periodic waves the authors apply Cellular Neural Network (CNN) approach.

ISBN: 9789814322126 (hbk.) :US68.00Subjects--Topical Terms:

673901
Nonlinear wave equations.

LC Class. No.: QA927 / .P66 2011

Dewey Class. No.: 530.155355

Nonlinear waves : = an introduction /
LDR:02074cam a2200205 a 4500 001 1267249
003 OCoLC
005 20120902213940.0
008 120907s2011 si a b 001 0 eng d
020 $a 9789814322126 (hbk.) : $c US68.00
020 $a 9814322121 (hbk.)
035 $a AS-BW-101-04
040 $a UKM $c UKM $d DLC $d BTCTA $d YDXCP $d CDX $d SINTU $d CUS $d IUL $d NTE $d MUU $d MCW
050 0 0 $a QA927 $b .P66 2011
082 0 4 $a 530.155355 $2 22
100 1 $a Popivanov, Peter R. $3 1535279
245 1 0 $a Nonlinear waves : $b an introduction / $c Petar Popivanov, Angela Slavova.
260 # $a Singapore ; $a Hackensack, NJ : $b World Scientific, $c c2011.
300 $a x, 168 p. : $b ill. ; $c 24 cm.
490 1 0 $a Series on analysis, applications and computation, $x 1793-4702 ; $v v. 4
504 $a Includes bibliographical references (p. 159-165) and index.
520 # $a This book deals with equations of mathematical physics as the different modifications of the KdV equation, the Camassa-Holm type equations, several modifications of Burger's equation, the Hunter-Saxton equation and others. The equations originate form physics but are proposed here for their investigation via purely mathematical methods in the frames of university courses. More precisely, the authors propose classification theorems for the traveling wave solutions for a sufficiently large class of third order nonlinear PDE when the corresponding profiles develop different kind of singularities (cusps, peaks). The orbital stability of the periodic solutions of traveling type for mKdV equations are also studied. Of great interest too is the interaction of peakon type solutions of the Camassa-Holm equation and the solvability of the classical and generalized Cauch problem for the Hunter-Saxton equation. The Riemann problem for special systems of conservation laws and the corresponding d-shocks are also considered. At the end of the book the authors study the interaction of two piecewise smooth waves in the case of two space variables and they verify the appearance of logarithmic singularities. As it concerns numerical methods in the case of periodic waves the authors apply Cellular Neural Network (CNN) approach.
650 # 0 $a Nonlinear wave equations. $3 673901
650 # 0 $a Mathematical physics. $3 516853
700 1 # $a Slavova, Angela. $3 1535280
830 0 $a Series on analysis, applications and computation ; $v 4. $3 1535281