Rogue wave and a pair of resonance stripe solitons to KP equation

The rogue wave and a pair of resonance stripe solitons to KP equation are discovered. First, based on the bilinear method, some lump solutions are obtained containing six parameters, four of which must cater to the non-zero conditions so as to insure the solution analytic and rationally localized. Second, a one-stripe-soliton-lump solution is presented and the interaction shows that the lump soliton can be drowned or swallowed by the stripe soliton, conversely, the lump soliton is spit out from the stripe soliton. Finally, a new ansatz of combination of positive quadratic functions and hyperbolic functions is introduced, and thus a novel nonlinear phenomenon is explored. It is interesting that a rogue wave can be excited. It is observed that the rogue wave, possessing a peak wave profile, arises from one of the resonance stripe solitons, moves to the other, and then disappears. Therefore, a rogue wave can be generated by the interaction between the lump soliton and the pair of resonance stripe solitons. However, compared with classic rouge wave, the dynamics of above nonlinear waves are quite different, which are graphically demonstrated. (C) 2018 Elsevier Ltd. All rights reserved.