On Selection of Standing Wave at Small Energy in the 1D Cubic Schrödinger Equation with a Trapping Potential

Author:

Cuccagna ScipioORCID,Maeda Masaya

Funder

Prin 2020

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference60 articles.

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2. Alammari, M., Snelson, S.: Linear and orbital stability analysis for solitary-wave solutions of variable-coefficient scalar field equations. J. Hyperbolic Differ. Equ. 19, 175–201 (2022)

3. Bambusi, D., Cuccagna, S.: On dispersion of small energy solutions to the nonlinear Klein Gordon equation with a potential. Am. J. Math. 133(5), 1421–1468 (2011)

4. Buslaev, V., Perelman, G.: On the stability of solitary waves for nonlinear Schrödinger equations. In: Uraltseva, N.N. (ed.) Nonlinear Evolution Equations. Translations: Series 2, vol. 164, pp. 75–98. American Mathematical Society, Providence (1995)

5. Cazenave, T., Hareaux, A.: An Introduction to Semilinear Equations. Claredon Press, Oxford (1998)

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