Solitary waves, shock waves and conservation laws with the surface tension effect in the Boussinesq equation; pp. 17–29

[摘要] This paper secures solitary waves, shock waves and singular solitary waves for the Boussinesq equation, which is studied with the inclusion of surface tension. The method of undetermined coefficients has yielded such waves. The Lie symmetry analysis has introduced a fresh perspective to the model. Conserved densities and corresponding conserved quantities are computed using the multiplier approach.

[学科分类] 内科医学

[关键词] solitary waves;surface tension;Lie symmetry;conservation laws