Interactions of two-dimensionally localized pulses of the regularized- long-wave equation

DOI10.1016/0167-2789(92)90207-4zbMath0810.35011OpenAlexW2051254893MaRDI QIDQ1207217

Keisuke Araki, Sadayoshi Toh, Takuji Kawahara

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90207-4

zbMATH Keywords

two-dimensional regularized-long-wave equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Mock-integrability and stable solitary vortices ⋮ The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas ⋮ Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces ⋮ Cylindrical solitary pulses in a two-dimensional stabilized Kuramoto-Sivashinsky system ⋮ The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate

Cites Work

• Cylindrical quasi-solitons of the Zakharov-Kuznetsov equation
• Scattering of regularized-long-wave solitary waves
• Solitary-wave interaction
• Pseudo-three-dimensional turbulence in magnetized nonuniform plasma
• Model equations for long waves in nonlinear dispersive systems