ON A CLASS OF SOLUTIONS OF KdV
نویسنده
چکیده
of solutions of KdV whose role is similar to that of e ( kx−ω(k)t ) is discussed. Theory of these solutions, referred to here as harmonic breathers, is developed and it is shown that these solutions may be used to construct more general solutions of KdV similarly to how the functions e ( kx−ω(t) ) are used to perform the same task in the theory of Fourier transform. Nonlinear superposition formula for general solutions of KdV similar to the Fourier expansion formula is conjectured.
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