Similarity reductions for \(2+1\)-dimensional variable coefficient generalized Kadomtsev-Petviashvili equation

DOI10.1007/BF02460183zbMath0965.35153MaRDI QIDQ1580623

Zhenya Yan, Hong-Qing Zhang

Publication date: 29 July 2001

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

similarity reductiondirect reduction methodvariable coefficient generalized Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (7)

New exact solutions to some variable coefficients problems ⋮ Various exact analytical solutions of a variable-coefficient Kadomtsev-Petviashvili equation ⋮ Two different systematic techniques to find analytical solutions of the \((2+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ Explicit solutions to the coupled KdV equations with variable coefficients ⋮ Finite-dimensional attractors for the Kirchhoff models ⋮ Global attractors and their Hausdorff dimensions for a class of Kirchhoff models ⋮ On the high-energy solitary wave solutions for a generalized KP equation in a bounded domain

Cites Work

• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• New similarity reductions of the Boussinesq equation
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