CONDITIONAL STABILITY OF THE GENERAL KdV SOLITON SOLUTION AND KdV-BURGERS TRAVELING WAVE SOLUTION

LI CHAO-HONG

doi:10.7498/aps.47.1409

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.
Authors and contacts
LI CHAO-HONG

1.
湖南师范大学物理系，长沙 410081
References

Cited By

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[2]	Shi Yu-Ren, Zhang Juan, Yang Hong-Juan, Duan Wen-Shan. The single solitary wave with double peaks of the coupled KdV equation and its stability. Acta Physica Sinica, 2011, 60(2): 020401. doi: 10.7498/aps.60.020401
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[11]	LI ZHI-BIN, PAN SU-QI. EXACT SOLITARY WAVE AND SOLITON SOLUTIONS OF THE GENERALIZED FIFTH ORDER KdV EQUATION. Acta Physica Sinica, 2001, 50(3): 402-405. doi: 10.7498/aps.50.402
[12]	ZHANG JIE-FANG, CHEN FANG-YUE. TRUNCATED EXPANSION METHOD AND NEW EXACT SOLITON-LIKE SOLUTION OF THE GENERAL VARIABLE COEFFICIENT KdV EQUATION. Acta Physica Sinica, 2001, 50(9): 1648-1650. doi: 10.7498/aps.50.1648
[13]	Lü KE-PU, SHI YU-REN, DUAN WEN-SHAN, ZHAO JIN-BAO. THE SOLITARY WAVE SOLUTIONS TO KdV-BURGERS EQUATION. Acta Physica Sinica, 2001, 50(11): 2073-2076. doi: 10.7498/aps.50.2073
[14]	HAI WEN-HUA, XIAO YI. SOLITON SOLUTIONS OF PERIURBED BURGERS-KdV EQUATION. Acta Physica Sinica, 1996, 45(4): 587-594. doi: 10.7498/aps.45.587
[15]	ZHU ZUO-NONG. STABILITY OF SOLITARY WAVE FOR THE KdV TYPE EQUATIONAND TRAVELLING WAVE FOR THE KdV-BURGERS TYPE EQUATION. Acta Physica Sinica, 1996, 45(7): 1087-1090. doi: 10.7498/aps.45.1087
[16]	MA WEN-XIU, ZHOU DE-TANG. ON SOLITARY WARE SOLUTIONS TO A GENERALIZED KdV EQNATION. Acta Physica Sinica, 1993, 42(11): 1731-1734. doi: 10.7498/aps.42.1731
[17]	ZHU ZUO-NONG. THE SOLITON SOLUTIONS OF GENERALIZED KdV EQUATION. Acta Physica Sinica, 1992, 41(7): 1057-1062. doi: 10.7498/aps.41.1057
[18]	ZHU ZUO-NONG. SOLITON-LIKE SOLUTIONS OF GENERALIZED KdV EQUA-TION WITH EXTERNAL FORCE TERM. Acta Physica Sinica, 1992, 41(10): 1561-1566. doi: 10.7498/aps.41.1561
[19]	LOU SEN-YUE. THE SOLITON SOLUTIONS OF KdV EQUATION RUNNING TO THE LEFT AND THEIR INTERACTIONS. Acta Physica Sinica, 1991, 40(1): 8-13. doi: 10.7498/aps.40.8
[20]	CHEN DE-FANG, LOU SEN-YUE. DEFORMATION THEORY AMONG TRAVELLING WAVE SOLUTIONS OF KdV EQUATION AND HIGH ORDER KdV EQUATIONS. Acta Physica Sinica, 1991, 40(4): 513-521. doi: 10.7498/aps.40.513

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Vol. 47, Issue 9 - 1998-05-05

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CONDITIONAL STABILITY OF THE GENERAL KdV SOLITON SOLUTION AND KdV-BURGERS TRAVELING WAVE SOLUTION

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CONDITIONAL STABILITY OF THE GENERAL KdV SOLITON SOLUTION AND KdV-BURGERS TRAVELING WAVE SOLUTION

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