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Blow-up solution near the traveling waves for the second-order Camassa–Holm equation
Nonlinear Analysis: Real World Applications ( IF 1.8 ) Pub Date : 2020-09-17 , DOI: 10.1016/j.nonrwa.2020.103209 Danping Ding , Kai Wang
中文翻译:
二阶Camassa-Holm方程行波附近的爆破解
更新日期:2020-09-18
Nonlinear Analysis: Real World Applications ( IF 1.8 ) Pub Date : 2020-09-17 , DOI: 10.1016/j.nonrwa.2020.103209 Danping Ding , Kai Wang
This paper studies the blow-up solution and its blow-up rate near the traveling waves of the second-order Camassa–Holm equation. The sufficient condition for the existence of blow-up solution is obtained by a rather ingenious method. Applying the extended pseudo-conformal transformation, an equivalent proposition of the solution breaking in finite time near the traveling waves is constructed. The relation is established between the blow-up time and rate of the solution and the residual’s.
中文翻译:
二阶Camassa-Holm方程行波附近的爆破解
本文研究了二阶Camassa-Holm方程行波附近的爆破解及其爆破率。爆破溶液存在的充分条件是通过相当巧妙的方法获得的。应用扩展的伪保形变换,构造了行波附近有限时间内破裂的解的一个等效命题。在溶液的爆破时间,爆破时间和残渣率之间建立了关系。