Soliton solutions for some nonlinear models in mathematical physics via conservation laws

Abstract

In this paper, we derive the soliton solutions from conserved quantities for the Benjamin-Bona-Mahoney equation with dual-power law nonlinearity (BBM), modified regularized long wave (MRLW) equation, modified nonlinearly dispersive KdV equations 2K(2, 2, 1) and 3K(3, 2, 2) equation, which are constructed by the multiplier approach (variational derivative method). Finally, we give the numerical simulations to illustrate this method.

Keywords

• multiplier
• benjamin-bona-mahoney equation with dual-power law nonlinearity
• modified regularized long wave equation
• nonlinearly dispersive kdv equations 2k(2
• 2
• 1) and 3k(3
• 2) equation
• soliton solutions