scientific article

zbMath0748.35040MaRDI QIDQ4008713

Hui-Hui Dai, Alan Jeffrey

Publication date: 27 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

compatibility conditionSoliton solutionsconstruction of integrable systems with variable coefficientssolitary waves over an uneven water bottom

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Applications of operator algebras to the sciences (47L90) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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A new integrable variable-coefficient \(2 + 1\)-dimensional long wave-short wave equation and the generalized dressing method ⋮ Explicit solutions for a modified \(2+1\)-dimensional coupled Burgers equation by using Darboux transformation ⋮ Integrable variable-coefficient coupled cylindrical NLS equations and their explicit solutions ⋮ The generalized dressing method with applications to variable-coefficient coupled Kadomtsev-Petviashvili equations

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