Numerical solution of the Zakharov equations

A new algorithm for the numerical solution of the Zakharov equations is presented. This algorithm is explicit and it is second-order accurate. The convergence of the algorithm is demonstrated by numerically solving the Zakharov equations for several test cases.

[1]  J. Denavit,et al.  Numerical study of two‐dimensional generation and collapse of Langmuir solitons , 1977 .

[2]  A. W. Trivelpiece,et al.  Introduction to Plasma Physics , 1976 .

[3]  M. Goldman,et al.  Virial theory of direct langmuir collapse , 1978 .

[4]  M. Goldman,et al.  Nonlinear Langmuir waves during type III solar radio bursts , 1978 .

[5]  H. H. Kuehl,et al.  Energy loss of a Korteweg–de Vries solitary wave in a slowly varying medium , 1980 .

[6]  A. Hasegawa STIMULATED MODULATIONAL INSTABILITIES OF PLASMA WAVES. , 1970 .

[7]  D. Gottlieb,et al.  Numerical analysis of spectral methods , 1977 .

[8]  D. R. Nicholson,et al.  Simple soliton solutions , 1979 .

[9]  S. Orszag,et al.  Advanced Mathematical Methods For Scientists And Engineers , 1979 .

[10]  H. Schamel,et al.  The application of the spectral method to nonlinear wave propagation , 1976 .

[11]  Steven A. Orszag,et al.  Numerical simulation of incompressible flows within simple boundaries: accuracy , 1971, Journal of Fluid Mechanics.

[12]  Lewi Tonks,et al.  Oscillations in Ionized Gases , 1929 .

[13]  K. Lonngren,et al.  On the Transient Effects of Nonlinear Wave Propagation in Magnetized Plasmas , 1982 .

[14]  V. G. Makhankov,et al.  Dynamics of classical solitons (in non-integrable systems) , 1978 .

[15]  Edward Ott,et al.  Chaotic (strange) and periodic behavior in instability saturation by the oscillating two-stream instability , 1981 .

[16]  G. S. Patterson,et al.  Spectral Calculations of Isotropic Turbulence: Efficient Removal of Aliasing Interactions , 1971 .

[17]  D. Ter Haar,et al.  Langmuir turbulence and modulational instability , 1978 .

[18]  M. Goldman,et al.  Solitons and ionospheric heating , 1982 .

[19]  Recurrence, dimensionality, and Lagrange stability of solutions of the nonlinear Schrödinger equation , 1981 .

[20]  M. Goldman,et al.  Cascade and collapse of Langmuir waves in two dimensions , 1978 .