| Budget Amount *help |
¥5,980,000 (Direct Cost: ¥4,600,000、Indirect Cost: ¥1,380,000)
Fiscal Year 2016: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2014: ¥260,000 (Direct Cost: ¥200,000、Indirect Cost: ¥60,000)
Fiscal Year 2013: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Outline of Final Research Achievements |
In this research, we study the long time behavior of solutions to the nonlinear dispersive equations such as the generalized KdV equation and the vortex filament equation from the point of view of how dispersive wave and solitary wave would affect the long time behavior of solution. We construct a minimal non-scattering solution, which plays an important role in the classification of solutions for the mass sub-critical KdV equation. We also prove the stability of soliton for the vortex filament equation, and the long range scattering for the nonlinear Schrodinger equation with delta potential and the nonlinear Klein-Gordon equation.
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