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Titlebook: Solitons; Introduction and App Muthusamy Lakshmanan Conference proceedings 1988 Springer-Verlag Berlin Heidelberg 1988 fluid dynamics.mecha

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书目名称Solitons
副标题Introduction and App
编辑Muthusamy Lakshmanan
视频video
丛书名称Springer Series in Nonlinear Dynamics
图书封面Titlebook: Solitons; Introduction and App Muthusamy Lakshmanan Conference proceedings 1988 Springer-Verlag Berlin Heidelberg 1988 fluid dynamics.mecha
描述A good deal of the material presented in this book has been prepared by top experts in the field lecturing in January 1987 at the Winter School on Solitons in Tiruchirapalli,India. The lectures begin at an elementary level but go on to include even the most recent developments in the field. The book makes a handy introduction to the various facets of the soliton concept, and will be useful both to newcomers to the field and to researchers who are interested in developments in new branches of physics and mathematics.
出版日期Conference proceedings 1988
关键词fluid dynamics; mechanics; scattering; soliton
版次1
doihttps://doi.org/10.1007/978-3-642-73193-8
isbn_softcover978-3-642-73195-2
isbn_ebook978-3-642-73193-8Series ISSN 0940-2535
issn_series 0940-2535
copyrightSpringer-Verlag Berlin Heidelberg 1988
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Gauge Unification of Integrable Nonlinear SystemsGauge equivalence of generalized NLS type equations is established with its possible application to find out soliton solutions and with the generation of new integrable systems. Through certain gauge choices some realistic models are exactly solved. Explicit auto BT for different classes of equations are also obtained by gauge transformation.
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Bäcklund Transformations and Soliton Wave FunctionsUsing Darboux-Bargmann technique, we obtain (1) the Backlund transformations for any nonlinear evolution equation (NLEE) solvable by the inverse scattering method of Zakharov-Shabat—Ablowitz-Kaup-Newell-Segur (ZS/AKNS) and (2) the ZS/AKNS wave functions corresponding to the n-soliton solution of this NLEE.
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Integrable Equations in Multi-Dimensions (2+1) are Bi-Hamiltonian Systemsions in (2+1)-dimensions is reviewed. The general theory associated with factorizable recursion operators in multidimensions is discussed. Both gradient and non-gradient master-symmetries are simply derived and their general theory is developed, using the Kadomtsev-Petviashvili equation as an example.
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