SOLITARY WAVE AND SIMILARITY SOLUTIONS OF THE COMBINED KdV EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (3): 311-316.

• 论文 • 上一篇

SOLITARY WAVE AND SIMILARITY SOLUTIONS OF THE COMBINED KdV EQUATION

潘秀德

Zheijing University, Hangzhou

收稿日期:1986-12-26 出版日期:1988-03-18 发布日期:1988-03-18

SOLITARY WAVE AND SIMILARITY SOLUTIONS OF THE COMBINED KdV EQUATION

Pan Xiu-de

Zheijing University, Hangzhou

Received:1986-12-26 Online:1988-03-18 Published:1988-03-18

摘要/Abstract

摘要： In this paper, we discuss a property of solitary wave solutions of the combined KdV equation. Meantime, we point out that the combined KdV equation can be reduced to the Painleve equation. Furthermore, utilizing special transformations of similarity variables, we derive a kind of new partial differential equations.

关键词: plane elasticity problem, Hamiltonian system, symplectic orthogonality, eigenfunction expansion, Hamiltonian operator

Abstract: In this paper, we discuss a property of solitary wave solutions of the combined KdV equation. Meantime, we point out that the combined KdV equation can be reduced to the Painleve equation. Furthermore, utilizing special transformations of similarity variables, we derive a kind of new partial differential equations.

Key words: plane elasticity problem, Hamiltonian system, symplectic orthogonality, eigenfunction expansion, Hamiltonian operator

潘秀德. SOLITARY WAVE AND SIMILARITY SOLUTIONS OF THE COMBINED KdV EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(3): 311-316.

Pan Xiu-de . SOLITARY WAVE AND SIMILARITY SOLUTIONS OF THE COMBINED KdV EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(3): 311-316.

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SOLITARY WAVE AND SIMILARITY SOLUTIONS OF THE COMBINED KdV EQUATION

SOLITARY WAVE AND SIMILARITY SOLUTIONS OF THE COMBINED KdV EQUATION

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