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首页> 美国卫生研究院文献>Proceedings. Mathematical Physical and Engineering Sciences >Gramian solutions and soliton interactions for a generalized (3 + 1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in a plasma or fluid
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Gramian solutions and soliton interactions for a generalized (3 + 1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in a plasma or fluid

机译：克拉柳液和孤子相互作用在等离子体或流体中的一致（3 + 1） - 二维变量系数Kadomtsev-Petviashvili方程

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Plasmas and fluids are of current interest, supporting a variety of wave phenomena. Plasmas are believed to be possibly the most abundant form of visible matter in the Universe. Investigation in this paper is given to a generalized (3 + 1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation for the nonlinear phenomena in a plasma or fluid. Based on the existing bilinear form, -soliton solutions in the Gramian are derived, where  = 1, 2, 3…. With  = 3, three-soliton solutions are constructed. Fission and fusion for the three solitons are presented. Effects of the variable coefficients, i.e. ( ), ( ), ( ), ( ) and ( ), on the soliton fission and fusion are revealed: soliton velocity is related to ( ), ( ), ( ), ( ) and ( ), while the soliton amplitude cannot be affected by them, where is the scaled temporal coordinate, ( ), ( ) and ( ) give the perturbed effects, and ( ) and ( ), respectively, stand for the disturbed wave velocities along two transverse spatial coordinates. We show the three parallel solitons with the same direction.

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