Solutions of the Extended Kadomtsev–Petviashvili–Boussinesq Equation by the Hirota Direct Method

DOI10.1142/S1402925109000121zbMath1177.35207MaRDI QIDQ3395353

Aslı Pekcan

Publication date: 26 August 2009

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Boussinesq equationsolitonsexact solutionsKadomtsev-Petviashvili equationHirota direct methodnon-integrable equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)

Cites Work

• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
• A search for bilinear equations passing Hirota’s three-soliton condition. II. mKdV-type bilinear equations
• A search for bilinear equations passing Hirota’s three-soliton condition. III. Sine–Gordon-type bilinear equations
• A Two-dimensional Boussinesq equation for water waves and some of its solutions
• A search for bilinear equations passing Hirota’s three-soliton condition. IV. Complex bilinear equations
• Exact envelope-soliton solutions of a nonlinear wave equation
• Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices

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