Nonlinear periodic waves governed by soliton equations : constructions of nonlinear periodic wave solutions and studies of periodic soliton interactions ソリトン方程式によって支配される非線形周期波動 : 非線形周期波動解の構成および周期ソリトンの相互作用に関する考察

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Title: Nonlinear periodic waves governed by soliton equations : constructions of nonlinear periodic wave solutions and studies of periodic soliton interactions

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Contents / p3 (0004.jp2)
1 Introduction / p1 (0006.jp2)
1.1 Historical Background on Soliton Theory / p1 (0006.jp2)
1.2 Imbricate Series / p3 (0007.jp2)
1.3 Interactions of Solitons on Multidimensional Systems / p6 (0009.jp2)
1.4 Outline of the Thesis / p7 (0009.jp2)
Bibliography / p9 (0010.jp2)
2 Wave Solutions as Imbricate Series / p13 (0012.jp2)
2.1 Introduction / p13 (0012.jp2)
2.2 Wave Solutions as Imbricate Series of Rational Growing-and-decaying Modes: Solutions to the Boussinesq Equa-tion / p14 (0013.jp2)
2.3 Wave Solutions as Imbricate Series of Rational Growing-and-decaying Modes: Solutions to the Focusing Nonlin-ear Schrodinger Equation / p36 (0024.jp2)
2.4 Periodic Soliton Solutions as Imbricate Series of Rational Solitons: Solutions to the KP Equation with Positive Dispersion / p63 (0037.jp2)
Bibliography / p75 (0043.jp2)
3 Periodic Soliton Resonances to the Davey-Stewartson Equation / p79 (0045.jp2)
3.1 Introduction / p79 (0045.jp2)
3.2 Two y-Periodic Solitons Resonance: Solutions to the DS I Equation / p81 (0046.jp2)
3.3 y-Periodic Soliton and Line Soliton Resonance: Solu-tions to the DS I Equation / p93 (0052.jp2)
3.4 Two y-Periodic Solitons Resonance: Solutions to the DS II Equation / p98 (0055.jp2)
3.5 Concluding Remarks / p101 (0056.jp2)
Bibliography / p103 (0057.jp2)
4 Summary and Future Problems / p105 (0058.jp2)
4.1 Summary / p105 (0058.jp2)
4.2 Future Problems / p109 (0060.jp2)

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