共查询到20条相似文献,搜索用时 62 毫秒
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证明了KdV型议程的孤波解和KdV-Burgers型方程的行波解在李亚诺夫意义下是不是稳定的,从而修正了文献中的一些结论。 相似文献
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The exact solution of the optical soliton equation with a nonlinear response delay term has been obtained by using the method of separating variables. The new type of optical solitary wave solution, which is quite different from the bright and dark soliton solutions, has been found for a special case. 相似文献
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New Travelling Wave Solutions to Compound KdV-Burgers Equation 总被引:1,自引:0,他引:1
The compound KdV-Burgers equation and combined KdV-mKdV equation
are real physical models concerning many branches in
physics. In this paper, applying the improved trigonometric function
method to these equations, rich explicit and exact travelling
wave solutions, which contain solitary-wave solutions, periodic
solutions, and combined formal solitary-wave solutions, are
obtained. 相似文献
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讨论了求解无限区域内波动方程的人工边界条件问题。利用简单而方便的直接差分方法构造了两个新的人工边界条件。严格地证明了它们的稳定性及其与解析边界条件的相容性。数值结果表明,这些新的人工边界条件在计算中颇为有效。 相似文献
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Axel Schulze-Halberg 《Foundations of Physics Letters》2000,13(3):265-277
We present a method for finding exact solutions of relativistic wave equations (RWE) that are given by finite normal series (FNS). Using a certain factorization method we rewrite the most general potential for which the RWE is solved by a FNS function in a canonical form such that FNS solutions for rational potentials can be obtained by solving simple algebraic equations. 相似文献
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利用扩展齐次平衡法,求出了Burgers方程无穷多个单孤子解和无穷多个有理函数解,特别是得到了Hopf-Cole’s变换和方程初始值问题解的封闭形式.方法简单直接,并且可以推广到其它方程. 相似文献
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In this paper, starting from the careful analysis on the characteristics of the Burgers equation and the KdV equation as well
as the KdV-Burgers equation, the superposition method is put forward for constructing the solitary wave solutions of the KdV-Burgers
equation from those of the Burgers equation and the KdV equation. The solitary wave solutions for the KdV-Burgers equation
are presented successfully by means of this method. 相似文献