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首页> 外文期刊>Zeitschrift fur Naturforschung. A, A journal of physical sciences >Truncated Painleve Expansion with Symbolic Computation for a General Kadomtsev-Petviashvili Equation with Variable Coefficients
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Truncated Painleve Expansion with Symbolic Computation for a General Kadomtsev-Petviashvili Equation with Variable Coefficients

机译:具有可变系数的一般Kadomtsev-Petviashvili方程的符号计算截断的Painleve展开

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摘要

Able to realistically model various physical situations, the variable-coefficient generalizations of the celebrated Kadmotsev-Petviashvili equation are of current interest in physical and mathematical sciences. In this paper, we make use of both the truncated Painleve expansion and symbolic computation to obtain an auto-Baecklund transformation and certain soliton-typed explicit solutions for a general Kadomtsev-Petviashvili equation with variable coefficients.
机译:能够对各种物理情况进行逼真的建模,著名的Kadmotsev-Petviashvili方程的变系数泛化在物理和数学科学中引起了人们的兴趣。在本文中,我们利用截断的Painleve展开和符号计算来获得自动Baecklund变换和某些系数可变的Kadomtsev-Petviashvili方程的某些孤子型显式解。

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