| Xu Zhaoting,Xu Yu,Tian Jiwei. 1997. An infinity of conservation laws of fKdV equation. Acta Oceanologica Sinica, (1):19-28 |
| An infinity of conservation laws of fKdV equation |
| An infinity of conservation laws of fKdV equation |
| Received:January 02, 1996 Revised:April 29, 1996 |
| DOI: |
| Key words:Precursor soliton of fKdV equation an fKdV equation an infinity of conservation laws |
| 中文关键词: Precursor soliton of fKdV equation an fKdV equation an infinity of conservation laws |
| 基金项目:This project is supported by the foundation of the State Education Commission "The Dynamics of Upper Ocean" and the open grants of Physical Oceanography Laboratory. |
| Author Name | Affiliation | | Xu Zhaoting | Institute of Physical Oceanography, Physical Oceanography Laboratory, Ocean University of Qingdao, Qingdao 266003, China | | Xu Yu | Institute of Physical Oceanography, Physical Oceanography Laboratory, Ocean University of Qingdao, Qingdao 266003, China | | Tian Jiwei | Institute of Physical Oceanography, Physical Oceanography Laboratory, Ocean University of Qingdao, Qingdao 266003, China |
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| Abstract: |
| An infinity of conservation laws of fKdV equation is derived in terms of the Miura and Gardner's transform.The pseudo-mass and energy theorems are studied by the first two conservation laws.As a typical example,the theoretical mean wave resistance and the regional distribution of energy of the precursor soliton generation are determined by means of the first and the second conservation laws. |
| 中文摘要: |
| An infinity of conservation laws of fKdV equation is derived in terms of the Miura and Gardner's transform.The pseudo-mass and energy theorems are studied by the first two conservation laws.As a typical example,the theoretical mean wave resistance and the regional distribution of energy of the precursor soliton generation are determined by means of the first and the second conservation laws. |
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