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Tatsuya Watanabe
Professor
JapanResearch Interests
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About
Professor Tatsuya Watanabe is a faculty member at Kyoto Sangyo University, Japan. His research areas include nonlinear partial differential equations, particularly focusing on the Schrödinger–Poisson systems and their applications in nonlinear optics. He has published extensively on topics such as stability analysis, ground state solutions, and the existence of solutions for various classes of equations.
Articles (12)
Year:
2026
Year:
2025
Year:
2025
Year:
2025
Year:
2025
Year:
2025
In this paper, we consider standing waves for a nonlinear Schrödinger system which appears in nonlinear optics. This two-component system contains a cubic nonlinear term which is called χ3-interaction, and has a strong coupling on one side only. Oliveira and Pastor [Anal. Math. Phys. 11, 123 (2021)] showed the existence of ground states solutions for the corresponding stationary problems and investigated their stability. In our study, by considering the solvability of a constraint minimization problem, we show the existence of stable standing wave solutions. We also investigate the correspondence between minimizers and ground state solutions.
Year:
2023
Year:
2023
Year:
2022
Year:
2021
Year:
2020
Year:
2020
Collaborators (2)
Masataka Shibata
Meijo University
Alessio POMPONIO
Full Professor
Politecnico di Bari Dipartimento di Meccanica Matematica e Management
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