Darboux Transformations in Integrable Systems
Gu, Chaohao; Hu, Anning; Zhou, Zixiang
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Description for Darboux Transformations in Integrable Systems
Hardback. Presents the Darboux transformations in matrix form and provides algebraic algorithms for constructing the explicit solutions. This work elucidates the behavior of simple and multi-solutions, even in multi-dimensional cases. It contains many results that were obtained by the authors in the past few years. Series: Mathematical Physics Studies. Num Pages: 318 pages, biography. BIC Classification: PH. Category: (P) Professional & Vocational. Dimension: 163 x 237 x 24. Weight in Grams: 624.
GU Chaohao The soliton theory is an important branch of nonlinear science. On one hand, it describes various kinds of stable motions appearing in - ture, such as solitary water wave, solitary signals in optical ?bre etc., and has many applications in science and technology (like optical signal communication). On the other hand, it gives many e?ective methods ofgetting explicit solutions of nonlinear partial di?erential equations. Therefore, it has attracted much attention from physicists as well as mathematicians. Nonlinearpartialdi?erentialequationsappearinmanyscienti?cpr- lems. Getting explicit solutions is usually a di?cult task. Only in c- tain special cases can the solutions be written down ... Read more
GU Chaohao The soliton theory is an important branch of nonlinear science. On one hand, it describes various kinds of stable motions appearing in - ture, such as solitary water wave, solitary signals in optical ?bre etc., and has many applications in science and technology (like optical signal communication). On the other hand, it gives many e?ective methods ofgetting explicit solutions of nonlinear partial di?erential equations. Therefore, it has attracted much attention from physicists as well as mathematicians. Nonlinearpartialdi?erentialequationsappearinmanyscienti?cpr- lems. Getting explicit solutions is usually a di?cult task. Only in c- tain special cases can the solutions be written down ... Read more
Product Details
Format
Hardback
Publication date
2004
Publisher
Springer-Verlag New York Inc. United States
Number of pages
318
Condition
New
Series
Mathematical Physics Studies
Number of Pages
308
Place of Publication
New York, NY, United States
ISBN
9781402030871
SKU
V9781402030871
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Darboux Transformations in Integrable Systems
From the reviews: "The book is concerned with mutual relations between the differential geometry of surfaces and the theory of integrable nonlinear systems of partial differential equations. It concentrates on the Darboux matrix method for constructing explicit solutions to various integrable nonlinear PDEs. … This book can be recommended for students and researchers who are ... Read more