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math-ph2019★ 46 cited
Symmetry multi-reduction method for partial differential equations with conservation laws
Stephen C. Anco, Mariluz Gandarias
For partial differential equations (PDEs) that have independent variables and a symmetry algebra of dimension at least , an explicit algorithmic method is presented f…
math-ph2019
Line-solitons, line-shocks, and conservation laws of a universal KP-like equation in 2+1 dimensions
Stephen C. Anco, M. L. Gandarias, Elena Recio
A universal KP-like equation in 2+1 dimensions, which models general nonlinear wave phenomena exhibiting p-power nonlinearity, dispersion, and small transversality, is studied. Spe…
math-ph2019★ 1 cited
Conservation laws and line soliton solutions of a family of modified KP equations
Stephen C. Anco, M. L. Gandarias, Elena Recio
A family of modified Kadomtsev-Petviashvili equations (mKP) in 2+1 dimensions is studied. This family includes the integrable mKP equation when the coefficients of the nonlinear te…