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物理学报  1998 

CONDITIONAL STABILITY OF THE GENERAL KdV SOLITON SOLUTION AND KdV-BURGERS TRAVELING WAVE SOLUTION
广义KdV孤子解和广义KdV-Burgers行波解的条件稳定性

Keywords: 广义,KDV方程,孤子解,行波解,稳定性

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Abstract:

For a general KdV soliton solution and a general KdV-Burgers traveling wave solution,the direct perturbation method is used to construct their general perturbed corrections.Theoretical analysis reveals that the solution possesses conditional stability,namely,their stability depends sensitively on the physical parameters and initial conditions of the corresponding system.The results have extended and corrected some assertions of instability in the recent articles.

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