Soliton solutions to the Jimbo-Miwa equations and the Fordy-Gibbons-Jimbo-Miwa equation
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Publication:1967033
DOI10.1016/S0375-9601(99)00659-3zbMath0937.35153WikidataQ127633472 ScholiaQ127633472MaRDI QIDQ1967033
Wei-Min Xue, Xing-Biao Hu, Dao-Liu Wang, Hon-Wah Tam
Publication date: 8 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)
Related Items (9)
Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff, Jimbo-Miwa and YTSF equations ⋮ Application of the \((\frac{G'}{G})\)-expansion method to \((3 +1)\)-dimensional nonlinear evolution equations ⋮ Bäcklund transformations, Lax system, conservation laws and multisoliton solutions for Jimbo-Miwa equation with Bell-polynomials ⋮ Multiple-soliton solutions for a \((3 + 1)\)-dimensional generalized KP equation ⋮ Two new Wronskian conditions for the (3+1)-dimensional Jimbo-Miwa equation ⋮ Exact and explicit solutions to the (3+1)-dimensional Jimbo-Miwa equation via the Exp-function method ⋮ Theta function solutions of the 3 + 1-dimensional Jimbo-Miwa equation ⋮ New solutions of distinct physical structures to high-dimensional nonlinear evolution equations ⋮ Pfaffian solutions and extended Pfaffian solutions to \((3+1)\)-dimensional Jimbo-Miwa equation
Cites Work
- Bilinear transformation method
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- The Painlevé property for partial differential equations
- On classes of integrable systems and the Painlevé property
- Soliton structure of the Drinfel’d–Sokolov–Wilson equation
- New integrable differential-difference systems
- The Crum transformation for a third-order scattering problem
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