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Abundant invariant solutions of extended(3+1)-dimensional KP-Boussinesq equation
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Abundant invariant solutions of extended(3+1)-dimensional KP-Boussinesq equation
Lie group analysis method is applied to the extended(3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equa-tion and the corresponding similarity reduction equations are obtained with various infinitesimal generators.By selecting suitable arbitrary functions in the similarity reduction solutions,we obtain abundant invariant solutions,including the trigonometric solution,the kink-lump interaction solution,the interaction solution between lump wave and triangular pe-riodic wave,the two-kink solution,the lump solution,the interaction between a lump and two-kink and the periodic lump solution in different planes.These exact solutions are also given graphically to show the detailed structures of this high dimensional integrable system.
extended(3+1)-dimensional KP-Boussinesq equationLie group methodsimilarity reductioninvariant solution
胡恒春、康佳丽
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College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China
extended(3+1)-dimensional KP-Boussinesq equation Lie group method similarity reduction invariant solution
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