RT journal article T1 Conservation laws and line soliton solutions of a family of modified KP equations A1 Anco, Stephen C. A1 Gandarias Núñez, María Luz A1 Recio Rodríguez, Elena A2 Matemáticas K1 Modified KP equation K1 line soliton K1 conservation laws K1 2+1 dimensions K1 kinematic properties AB A family of modi ed Kadomtsev-Petviashvili equations (mKP) in2+1 dimensions is studied. This family includes the integrable mKP equa-tion when the coe cients of the nonlinear terms and the transverse dispersionterm satisfy an algebraic condition. The explicit line soliton solution and allconservation laws of low order are derived for all equations in the family andcompared to their counterparts in the integrable c SN 1937-1179 YR 2020 FD 2020 LK http://hdl.handle.net/10498/33313 UL http://hdl.handle.net/10498/33313 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 07-nov-2026