TY - JOUR
AU - Liu, Xi-Zhong
AB - Abstract: By applying a simple symmetry reduction on a two-layer liquid model, a nonlocal counterpart of it is obtained. Then a general form of nonlocal nonlinear Schrodinger (NNLS) equation with shifted parity, charge-conjugate and delayed time reversal is obtained by using multi-scale expansion method. Some kinds of elliptic periodic wave solutions of the NNLS equation are obtained by using function expansion method, which contain soliton solutions and kink solutions when the modulus taking as unity. Some representative figures of these solutions are given and analyzed in detail. In addition, by carrying out the classical symmetry method on the NNLS equation, not only the Lie symmetry group but also the related symmetry reduction solutions are given.
TI - A nonlocal nonlinear Schrodinger equation derived from a two-layer fluid model
JO - Nonlinear Sciences
DA - 2019-03-02
UR - https://www.deepdyve.com/lp/arxiv-cornell-university/a-nonlocal-nonlinear-schr-odinger-equation-derived-from-a-two-layer-10JZXzeif8
VL - 2019
IS - 1903
DP - DeepDyve
ER -