Lump waves in a generalized Bogoyavlensky-Konopelchenko model with spatially balanced derivatives
Abstract
This paper investigates lump waves in a generalized (2+1)-dimensional Bogoyavlensky–Konopelchenko model with spatially balanced derivatives. Using a sum-of-squares ansatz, symbolic computation in Maple is employed to construct lump wave solutions from positive quadratic functions of the nonlinear model. The interplay of four sets of nonlinear terms and five dispersion terms gives rise to the resulting lump waves. The critical points of these quadratic functions are determined, and they travel at constant velocities along a straight line in the spatial plane. Along this characteristic line, the constructed lump waves remain invariant. Concluding remarks are provided in the final section.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Advanced Differential Equations and Dynamical Systems
Fractional Differential Equations Solutions
Publication details
- Journal / source
- Mathematics in Engineering
- Publisher
- American Institute of Mathematical Sciences (AIMS)
- Volume
- 8
- Issue
- 1
- Pages
- 140–149
- Publication date
- 1 January 2026