Reduction of soliton equations in bilinear form

DOI10.1016/0167-2789(86)90173-9zbMath0601.35099OpenAlexW1978745235MaRDI QIDQ1081031

Ryogo Hirota

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90173-9

zbMATH Keywords

Boussinesq equationreductionnonlinear Schrödinger equationsoliton solutionsKP hierarchySawada-Kotera equationKadomtsev-Petviashvili equationKorteweg de Vries equationDark- solitonn- pseudo reduction

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (9)

An integrable semi-discretization of the Boussinesq equation ⋮ A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations ⋮ Lattice equations, hierarchies and Hamiltonian structures ⋮ The discrete potential Boussinesq equation and its multisoliton solutions ⋮ Soliton-generating τ-functions revisited ⋮ Gauge equivalence and \(l\)-reductions of the differential-difference KP equation ⋮ Hirota’s Bilinear Method and Its Connection with Integrability ⋮ Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation ⋮ Kadomtsev-Petviashvili II equation: structure of asymptotic soliton webs

Cites Work

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• Solitons and infinite dimensional Lie algebras
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• Nonlinear Evolution Equations Generated from the Backlund Transformation for the Boussinesq Equation
• Integrals of nonlinear equations of evolution and solitary waves

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