An algebraic method for solving the KdV equation. I: Two-parameter solution family

DOI10.1016/S0960-0779(97)00163-XzbMath0932.35181MaRDI QIDQ1809612

Kejie Zheng, Shenqi Zhao, Zuliang Pan

Publication date: 8 March 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

two-soliton solutionsmultiple-parameter solution familytwo-parameter solution family

Mathematics Subject Classification ID

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)

Related Items (3)

Soliton solutions for \((2+1)\)-dimensional and \((3+1)\)-dimensional \(K(m, n)\) equations ⋮ An algebraic method for solving the KdV equation. II: Three-parameter and four-parameter solution family ⋮ An algebraic method for solving the KdV equation. III: \(N\)-parameter solution family

Cites Work

• Bäcklund transformations and their applications
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