Specific Solutions to Nonlinear Schrodinger Equation in Two Spatial Dimension
Rebecca Mukherjee; A Roy Chowdhury; Rebecca Mukherjee; High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta - 700 032, India; A Roy Chowdhury; High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta - 700 032, India
Журнал:
Physica Scripta
Дата:
1985-06-01
Аннотация:
We have made an analysis about the different class of soliton and soliton like exact solutions of nonlinear Schrodinger equation in three dimension through the help of a modified Lax pair suggested by Melnikoff. We show that it is possible to generate a new class of solutions which incorporates the usual soliton solutions as special cases. One important and distinctive feature of our calculation is that the input Kernels of the Gelfand-Levitan equation take into account of nontrivial, specified functional form of the boundary conditions of the two dimensional nonlinear field u(x, y) and v(x, y) in both cases of x and y → ∞.
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