%0 Journal Article %A Anco, Stephen C. %A Gandarias Núñez, María Luz %A Recio Rodríguez, Elena %T Conservation laws and line soliton solutions of a family of modified KP equations %D 2020 %@ 1937-1179 %U http://hdl.handle.net/10498/33313 %X A family of modi ed Kadomtsev-Petviashvili equations (mKP) in 2+1 dimensions is studied. This family includes the integrable mKP equa- tion when the coe cients of the nonlinear terms and the transverse dispersion term satisfy an algebraic condition. The explicit line soliton solution and all conservation laws of low order are derived for all equations in the family and compared to their counterparts in the integrable c %K Modified KP equation %K line soliton %K conservation laws %K 2+1 dimensions %K kinematic properties %~ Universidad de Cádiz