14 citations
- Osaka Institute of TechnologyJP9 papers
- Tezukayama UniversityJP9 papers
- Asia Pacific Center for Theoretical PhysicsKR4 papers
- Institute for Basic ScienceKR4 papers
- Nankai UniversityCN4 papers
- Sogang UniversityKR4 papers
- Academy of Sciences Republic of UzbekistanUZ3 papers
- Chinese Academy of SciencesCN3 papers
- Kyoto UniversityJP3 papers
- Sun Yat-sen UniversityCN3 papers
- Institute of Modern PhysicsCN2 papers
- Instituto Geofísico del PerúPE2 papers
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math-ph2018★ 10 cited
The Static Elliptic -soliton Solutions of the KdV Equation
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
Regarding -soliton solutions, the trigonometric type, the hyperbolic type, and the exponential type solutions are well studied. While for the elliptic type solution, we know onl…
nlin.SI2018★ 9 cited
The Construction of the mKdV Cyclic Symmetric -soliton Solution by the Bäcklund Transformation
Masahito Hayashi, Kazuyasu Shigemoto, Takuya Tsukioka
We study group theoretical structures of the mKdV equation. The Schwarzian type mKdV equation has the global Möbius group symmetry. The Miura transformation makes a connection betw…