Details
Solitons
1. Aufl.
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CHF 151.15 |
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| Verlag: | De Gruyter |
| Format: | EPUB |
| Veröffentl.: | 19.03.2018 |
| ISBN/EAN: | 9783110549416 |
| Sprache: | englisch |
| Anzahl Seiten: | 376 |
DRM-geschütztes eBook, Sie benötigen z.B. Adobe Digital Editions und eine Adobe ID zum Lesen.
Beschreibungen
<p>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. </p>
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<p><strong>Contents<br></strong>Introduction<br>Inverse scattering transform<br>Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations<br>Interaction of solitons and its asymptotic properties<br>Hirota method<br>Bäcklund transformations and the infinitely many conservation laws<br>Multi-dimensional solitons and their stability<br>Numerical computation methods for some nonlinear evolution equations<br>The geometric theory of solitons<br>Global existence and blow up for the nonlinear evolution equations<br>The soliton movements of elementary particles in nonlinear quantum field<br>The theory of soliton movement of superconductive features<br>The soliton movements in condensed state systemsontents<br></p>
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<p><strong>Contents<br></strong>Introduction<br>Inverse scattering transform<br>Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations<br>Interaction of solitons and its asymptotic properties<br>Hirota method<br>Bäcklund transformations and the infinitely many conservation laws<br>Multi-dimensional solitons and their stability<br>Numerical computation methods for some nonlinear evolution equations<br>The geometric theory of solitons<br>Global existence and blow up for the nonlinear evolution equations<br>The soliton movements of elementary particles in nonlinear quantum field<br>The theory of soliton movement of superconductive features<br>The soliton movements in condensed state systemsontents<br></p>
<p>Contents </p>
<p>Chapter 1 Introduction<br>Chapter 2 Inverse Scattering Methods<br>Chapter 3 Well-posed and asymptotic behaviors to initial boundary value problem for some integrable evolution nonlinear equations<br>Chapter 4 Interaction of solitons and its asymptotic properties<br>Chapter 5 Hirota methods<br>Chapter 6 Bäcklund Transformations and the infinite conservation laws<br>Chapter 7 Multidimensional soliton and its stability<br>Chapter 8 Numerical computation method for some nonlinear evolution equations<br>Chapter 9 The geometric theory of soliton<br>Chapter 10 Global existence and blow up for the nonlinear evolution equations<br>Chapter 11 Topological soliton and non-topological soliton<br>Chapter 12 Solitons in the condensed state physics<br>References </p>
<p>Chapter 1 Introduction<br>Chapter 2 Inverse Scattering Methods<br>Chapter 3 Well-posed and asymptotic behaviors to initial boundary value problem for some integrable evolution nonlinear equations<br>Chapter 4 Interaction of solitons and its asymptotic properties<br>Chapter 5 Hirota methods<br>Chapter 6 Bäcklund Transformations and the infinite conservation laws<br>Chapter 7 Multidimensional soliton and its stability<br>Chapter 8 Numerical computation method for some nonlinear evolution equations<br>Chapter 9 The geometric theory of soliton<br>Chapter 10 Global existence and blow up for the nonlinear evolution equations<br>Chapter 11 Topological soliton and non-topological soliton<br>Chapter 12 Solitons in the condensed state physics<br>References </p>
<p>"Overall, this book covers differential types of soliton equations along with their dynamical behaviors and applications from physics. Mathematical methods are described together with applications and numerical experiments. The book provides a good reference source for young researchers and graduate students in applied mathematics and physics."<br><em>Dmitry Pelinovsky in: Zentralblatt MATH 1406.35001</em> </p>
<p><strong>B. Guo</strong>, <strong>Y. Wang</strong> and <strong>N. Liu</strong>, Inst. of Appl. Phys. & Comp. Math., China; <strong>X. Pan</strong>, Univ. of Electr. Sci. & Tech., China. </p>
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