New periodic solitary-wave solutions for the Benjiamin Ono equation

DOI10.1016/j.amc.2009.11.009zbMath1185.35213OpenAlexW1965619306MaRDI QIDQ961644

Da-Quan Xian, Zhen-Hui Xu, Han Lin Chen

Publication date: 31 March 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.11.009

zbMATH Keywords

homoclinic test methodBenjiamin Ono equationperiodic solitary wave

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Soliton solutions (35C08)

Related Items (14)

A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations ⋮ Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations ⋮ New periodic-wave solutions for (2+1)- and (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equations ⋮ The multisoliton solutions for the \((2 + 1)\)-dimensional Sawada-Kotera equation ⋮ Nonlocal symmetries and interaction solutions of the Benjamin-Ono equation ⋮ The EHTA for nonlinear evolution equations ⋮ Abundant symmetry-breaking solutions of the nonlocal Alice-Bob Benjamin-Ono system ⋮ Cross-kink multi-soliton solutions for the (3+1)-D Jimbo-Miwa equation ⋮ Two kinds of breather solitary wave and rogue wave solutions for the (3+1)-dimensional Kadomtsev-Petviashvili equation ⋮ The application of trigonal curve theory to the second-order Benjamin-Ono hierarchy ⋮ New exact periodic solitary-wave solutions for the \((3+1)\)-dimensional generalized KP and BKP equations ⋮ Homoclinic breather-wave solutions and doubly periodic wave solutions for coupled KdV equations ⋮ On the integrability and Riemann theta functions periodic wave solutions of the Benjamin Ono equation ⋮ Applications of the extended test approach to \((2+1)\)-dimensional Gardner equation

Cites Work

• Exact homoclinic wave and soliton solutions for the 2D Ginzburg-Landau equation
• Applications of HTA and EHTA to YTSF equation
• The JEFE method and periodic solutions of two kinds of nonlinear wave equations
• Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint

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