Multisoliton solutions of the matrix KdV equation
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Publication:5951260
DOI10.1023/A:1005254131618zbMath0988.35144MaRDI QIDQ5951260
Publication date: 22 July 2002
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
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Factorization problems on rational loop groups, and the Poisson geometry of Yang-Baxter maps ⋮ On non-abelian quadrirational Yang–Baxter maps* ⋮ Spin generalizations of the Benjamin-Ono equation ⋮ Yang-Baxter maps and integrable dynamics ⋮ AN INTEGRABLE DECOMPOSITION OF THE SYMMETRIC MATRIX KdV EQUATION ⋮ Integration of the matrix KdV equation with self-consistent source ⋮ Tropical limit of matrix solitons and entwining Yang-Baxter maps ⋮ The noncommutative KdV equation and its para-Kähler structure ⋮ Matrix KP: tropical limit and Yang-Baxter maps ⋮ Inverse scattering on the line for the matrix Sturm-Liouville equation ⋮ Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation ⋮ Matrix Solitons Solutions of the Modified Korteweg–de Vries Equation ⋮ Matrix Korteweg-de Vries and modified Korteweg-de Vries hierarchies: Noncommutative soliton solutions
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