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1.

図書

図書
L.D. Faddeev, L.A. Takhtajan ; translated from the Russian by A.G. Reyman
出版情報: Berlin ; Tokyo : Springer-Verlag, c1987  ix, 592 p. ; 24 cm
シリーズ名: Springer series in Soviet mathematics
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2.

図書

図書
edited by Lokenath Debnath
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1983  360 p. ; 24 cm
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目次情報: 続きを見る
Nonlinear Waves in Fluids / Part I:
Towards the Analytic Description of Overturning Waves / Michael S. Longuet-Higgins1:
The Korteweg-de Vries Equation and Related Problems in Water Wave Theory / R. S. Johnson2:
Solitary Waves in Slowly Varying Environments: Long Nonlinear Waves / R. Grimshaw3:
Nonlinear Waves in a Channel / M. C. Shen4:
Soliton Behaviour in Models of Baroclinic Instability / Irene M. Moroz ; John Brindley5:
Waves and Wave Groups in Deep Water / Peter J. Bryant6:
Two- and Three-Wave Resonance / Alex D. D. Craik7:
Nonlinear waves in Plasmas / Part II:
Nonlinear Electromagnetic Waves in Flowing Plasma / N. E. Andreev ; V. P. Silin ; P. V. Silin8:
Superluminous Waves in Plasmas / P. C. Clemmow9:
Electrostatic Ion Cyclotron Waves and Ion Heating in a Magnetic Field / H. Okuda10:
Solitons in Plasma Physics / P. K. Shukla11:
A Theory for the Propagation of Slowly Varying Nonlinear Waves in a Non-Uniform Plasma / R. J. Gribben.12:
Nonlinear Waves in Fluids / Part I:
Towards the Analytic Description of Overturning Waves / Michael S. Longuet-Higgins1:
The Korteweg-de Vries Equation and Related Problems in Water Wave Theory / R. S. Johnson2:
3.

図書

図書
Richard Beals, Percy Deift, Carlos Tomei
出版情報: Providence, R.I. : American Mathematical Society, c1988  xiii, 209 p. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; no. 28
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目次情報: 続きを見る
The Forward Problem: Distinguished solutions / Part I:
Fundamental matrices Fundamental tensors
Behavior of fundamental tensors as $|x|\rightarrow\infty$; the Functions $\Delta_k$
Behavior of fundamental tensors as $z\rightarrow\infty$
Behavior of fundamental tensors as $z\rightarrow0$
Construction of fundamental matrices
Global properties of fundamental matrices; the transition matrix $\delta$
Symmetries of fundamental matrices
The Green's function for $L$
Generic operators and scattering data
Algebraic properties of scattering data
Analytic roperties of scattering data
Scattering data for $\tilde m$; determination of $\tilde v$ from $v$
Scattering data for $L^\ast$ Generic selfadjoint operators and scattering data
The Green's function revisited
Genericity at $z=0$ Genericity at $z\ne0$
Summary of properties of scattering data
The Inverse Problem: Normalized eigenfunctions for odd order inverse data / Part II:
The vanishing lemma
The Cauchy operator Equations for the inverse problem
Factorization near $z=0$ and property (20.6)
Reduction to a Fredholm equation Existence of $h^\#$
Properties of $h^\#$ Properties of $\mu^\#(x,z)$ and $\mu(x,z)$ as $z\rightarrow\infty$ and as $x\rightarrow-\infty$
Proof of the basic inverse theorem
The scalar factorization problem for $\delta$
The inverse problem at $x=+\infty$ and the bijectivity of the map $L\mapsto S(L)=(Z(L),v(L))$ The even order case The second order problem
Applications: Flows / Part III:
Eigenfunction expansions and classical scattering theory
Inserting and removing poles
Matrix factorization and first order systems
Rational approximation / Appendix A:
Some formulas / Appendix B:
The Forward Problem: Distinguished solutions / Part I:
Fundamental matrices Fundamental tensors
Behavior of fundamental tensors as $|x|\rightarrow\infty$; the Functions $\Delta_k$
4.

図書

図書
Mark J. Ablowitz and Harvey Segur
出版情報: Philadelphia : SIAM, 1981  x, 425 p., [2] p. of plates ; 24 cm
シリーズ名: SIAM studies in applied mathematics ; 4
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