A note on solutions of the Korteweg-de Vries hierarchy

Nikolay A. Kudryashov

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A note on solutions of the Korteweg-de Vries hierarchy

机译：关于Korteweg-de Vries层次结构的解决方案的注释

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Solutions of the Korteweg-de Vries hierarchy are discussed. It is shown that results by Wazwaz [Wazwaz AM. Multiple-soliton solutions of the perturbed KdV equation. Commun Nonlinear Sci Simul 2010:15(11 ):3270-73] are the well-known consequences of the full integrability for the Korteweg-de Vries hierarchy.

机译：讨论了Korteweg-de Vries层次结构的解决方案。由Wazwaz [Wazwaz AM。摄动KdV方程的多孤子解。 [Commun Nonlinear Sci Simul 2010：15（11）：3270-73]是Korteweg-de Vries层次结构的完全可集成性的众所周知的结果。

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《Communications in Nonlinear Science and Numerical Simulation》 |2011年第4期|p.1703-1705|共3页
作者
Nikolay A. Kudryashov;
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作者单位

Department of Applied Mathematics, National Research Nuclear University MEPhI, 31 Kashirskoe Shosse, 115409 Moscow, Russian Federation;

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正文语种 eng
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关键词
nonlinear evolution equation; korteweg-de vries hierarchy; lax pair; inverse scattering transform; hirota method; soliton solution; perturbed KdV equation;

机译：非线性发展方程korteweg-de vries等级;松弛逆散射变换广田法孤子溶液;扰动的KdV方程;

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A note on solutions of the Korteweg-de Vries hierarchy

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