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中国物理学会期刊
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孤子方程求解的投影矩阵法

物理学报, 1989, 38(12): 1911-1918.
DOI: 10.7498/aps.38.1911
CSTR: 32037.14.aps.38.1911

PROJECTION MATRIX METHOD FOR SOLVING SOLITON EQUATIONS

Acta Phys. Sin., 1989, 38(12): 1911-1918.
DOI: 10.7498/aps.38.1911
CSTR: 32037.14.aps.38.1911
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  • 摘要

    本文全面论述了孤子方程求解的投影矩阵法。不仅导出孤子解间的变换关系(孤子变换),而且导出以前未明确得到的呼吸子解之间的变换关系(呼吸子变换),并一般地证明了孤子解的非奇异性。

     

    Abstract

    In this paper, projection matrix method for solving soliton equations is described. Soliton transformation and breather transformation are derived. And the regularity of the solutions is proved in general.

     

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