Bäcklund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory

Bäcklund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory
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发表时间：
2002-06
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通讯作者：
C. Rogers;W. Schief
C. Rogers;W. Schief
中科院分区：
其他
文献类型：
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作者：
C. Rogers;W. Schief

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引言致谢总介绍和提纲伪球面与经典Backlund变换：Bianchi系统曲线和曲面的运动。孤子连接Tzitzeica曲面：共轭网和Toda格格式桥本曲面与非线性薛定谔方程：几何与相关孤子方程等温表面：Calapso和Zoomeron方程孤子曲面的一般方面：规范变换和互易变换的作用Backlund变换和Darboux矩阵连接Bianchi和Ernst系统：Backlund变换和置换定理投影极小曲面与等温渐近曲面A. su(2)-so(3)同构B. c -理想C.书目。
Preface Acknowledgements General introduction and outline 1. Pseudospherical surfaces and the classical Backlund transformation: the Bianchi system 2. The motion of curves and surfaces. soliton connections 3. Tzitzeica surfaces: conjugate nets and the Toda Lattice scheme 4. Hasimoto Surfaces and the Nonlinear Schrodinger Equation: Geometry and associated soliton equations 5. Isothermic surfaces: the Calapso and Zoomeron equations 6. General aspects of soliton surfaces: role of gauge and reciprocal transfomations 7. Backlund transformation and Darboux matrix connections 8. Bianchi and Ernst systems: Backlund transformations and permutability theorems 9. Projective-minimal and isothermal-asymptotic surfaces A. The su(2)-so(3) isomorphism B. CC-ideals C. Biographies Bibliography.