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- W2895853269 abstract "In this article, we investigate an integrable weakly coupled nonlocal nonlinear Schrödinger (WCNNLS) equation including its Lax pair. Afterwards, Darboux transformation (DT) of the weakly coupled nonlocal NLS equation is constructed, and then the degenerated Darboux transformation can be got from Darboux transformation. Applying the degenerated Darboux transformation, the new solutions (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:msup><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=false>[</mml:mo><mml:mn mathvariant=normal>1</mml:mn><mml:mo stretchy=false>]</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msup><mml:mrow><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=false>[</mml:mo><mml:mn mathvariant=normal>1</mml:mn><mml:mo stretchy=false>]</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>) and self-potential function<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mo stretchy=false>(</mml:mo><mml:msup><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=false>[</mml:mo><mml:mn mathvariant=normal>1</mml:mn><mml:mo stretchy=false>]</mml:mo></mml:mrow></mml:msup><mml:mo stretchy=false>)</mml:mo></mml:math>are created from the known solutions (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mrow><mml:mi>r</mml:mi></mml:mrow></mml:math>). The (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M6><mml:mrow><mml:msup><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=false>[</mml:mo><mml:mn mathvariant=normal>1</mml:mn><mml:mo stretchy=false>]</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M7><mml:mrow><mml:msup><mml:mrow><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=false>[</mml:mo><mml:mn mathvariant=normal>1</mml:mn><mml:mo stretchy=false>]</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>) satisfy the parity-time (PT) symmetry condition, and they are rational solutions with two free phase parameters of the weakly coupled nonlocal nonlinear Schrödinger equation. From the plots of solutions, the compression effects of the real refractive index profile and the gain-or-loss distribution are produced." @default.
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- W2895853269 date "2018-10-14" @default.
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- W2895853269 title "Rational Solutions of a Weakly Coupled Nonlocal Nonlinear Schrödinger Equation" @default.
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- W2895853269 doi "https://doi.org/10.1155/2018/9216286" @default.
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