Traveling Wave Solutions to Kadomtsev-Petviashvili Equation

KORTEWEG K J,DEVRIES G.On the change of form of long waves advancing in a rectangular channel and on a new type of long stationary waves[J].Philos.Mag.Ser.,1958,39(5):422-443.[2] KADOMDTSEY B B,PETVIASHVILI V I.On the stability of solitary wave in weakly dispersing media[J].Sovit.Phys.Doki.,1970,15:539-541.[3] LAEDKE W,SPATSCHEK K H.Nonlinear ion-acoustic waves in weak magnetic fields[J].J.Phys.Fluids,1982,25:985-989.[4] HIYAMOGGI B K S.Nonlinear ion-acoustic waves in weak magnetized plasma and Zakharov-Kuznetsov equation[J].J.Plasma Phys.,1989,41:83-88.[5] BOURGAIN J.On the Cauchy problem for the Kadomtesv-Petviashvili equation[J].Geometric and Functional Analysis,1993,3:315-341.[6] WILLEM M.On the generalized Kadomtsev-Petviashvili equation[J].Seminaire do Mathematique,1995,96:213-222.[7] SHIYAMOGGI B K.The painleve analysis of the Zakharov-Kuznetsov equation[J].Physica Scripa,1990,42:641-642.[8] AIZICOVICI S,WEN S L.Anti-perodic traveling wave solutions to a forced two-dimensional generalized Kdv equation[J].J.Math.and Anal.,1993,174:556-565.[9] BESOV O V,ILIN V P,NIKOLSKII S M.Integral representations of functions and imbeddings theorems[M].Vol Ⅰ.New York:Wiley,1978:50-89.[10] AMBROSETT I,RABINOWITZ P.Dual variational methods in critical point theory and applications[J].J.Funct.Analysis,1973:349-381.