研究论文
An exact solution for a derivative nonlinear Schrödinger equation
D. J. Kaup, Alan C. Newell
Clarkson College
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摘要 · 完整
A method of solution for the ’’derivative nonlinear Schrödinger equation’’ iqt=−qxx±i (q*q2)x is presented. The appropriate inverse scattering problem is solved, and the one-soliton solution is obtained, as well as the infinity of conservation laws. Also, we note that this equation can also possess ’’algebraic solitons.’’
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物理Nonlinear Waves and Solitons
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参考文献 3
The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
被引 3,245Mark J. Ablowitz, D. J. Kaup, Alan C. Newell · Studies in Applied Mathematics · 1974
Modified Nonlinear Schrödinger Equation for Alfvén Waves Propagating along the Magnetic Field in Cold Plasmas
被引 465Koji Mio, Tatsuki Ogino, Kazuo Minami · Journal of the Physical Society of Japan · 1976
On the modulational instability of hydromagnetic waves parallel to the magnetic field
被引 539E. Mjølhus · Journal of Plasma Physics · 1976
此处列出前 3 条
引用本文 1,352
A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
被引 1,014Mark J. Ablowitz, A. Ramani, Harvey Segur · Journal of Mathematical Physics · 1980
Magnetic Solitons
被引 893A. M. Kosevich, B. A. Ivanov, A. S. Kovalev · Physics Reports · 1990
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
被引 614Gui-zhang Tu · Journal of Mathematical Physics · 1989
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