Effect of cubic nonlinearity on soliton solutions of the Benjamin-Bona-Mahony equation

DOI10.1134/S0965542513040088zbMath1299.35251MaRDI QIDQ5413046

S. P. Popov

Publication date: 28 April 2014

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Korteweg-de Vries equationBenjamin-Bona-Mahony equationGardner equationkinkequal width (EW) equationregularised long wave (RLW) equationsolitons with limiting amplitudes

Mathematics Subject Classification ID

Soliton equations (35Q51)

Related Items (2)

Long-time convergence of numerical approximations for 2D GBBM equation ⋮ Soliton solutions of a generalization of the coupled Volterra system

Uses Software

• Unnamed Item

Cites Work

• Traveling wave solutions of the generalized nonlinear evolution equations
• Scattering of regularized-long-wave solitary waves
• Simplest equation method to look for exact solutions of nonlinear differential equations
• A cubic B-spline collocation method for the EW equation
• Application of the quasi-spectral fourier method to soliton equations
• Conservative numerical methods for solitary wave interactions
• Model equations for long waves in nonlinear dispersive systems
• Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA
• The polygonal method for constructing exact solutions to certain nonlinear differential equations describing water waves
• Soliton solutions to generalized discrete Korteweg-de Vries equations

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