ASYMPTOTIC EXPANSION OF SOLUTIONS TO THE NONLINEAR SCHRÖDINGER EQUATION WITH POWER NONLINEARITY

Kyushu Journal of Mathematics ◽

10.2206/kyushujm.63.51 ◽

2009 ◽

Vol 63 (1) ◽

pp. 51-82 ◽

Author(s):

Satoshi MASAKI

Keyword(s):

Asymptotic Expansion ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Power Nonlinearity ◽

Asymptotic Expansion Of Solutions

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Asymptotic Expansion of Solutions of an Elliptic Equation Related to the Nonlinear Schrödinger Equation

Journal of Dynamics and Differential Equations ◽

10.1023/b:jody.0000009747.25366.90 ◽

2003 ◽

Vol 15 (2/3) ◽

pp. 535-551

Author(s):

M. Franca ◽

R. Johnson

Keyword(s):

Asymptotic Expansion ◽

Elliptic Equation ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Asymptotic Expansion Of Solutions

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Ground States and Energy Asymptotics of the Nonlinear Schrodinger Equation with a General Power Nonlinearity

Communications in Computational Physics ◽

10.4208/cicp.2018.hh80.02 ◽

2018 ◽

Vol 24 (4) ◽

Author(s):

Xinran Ruan ◽

Wenfan Yi

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Ground States ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Power Nonlinearity ◽

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Stability and instability of standing waves for 1-dimensional nonlinear Schrödinger equation with multiple-power nonlinearity

Kodai Mathematical Journal ◽

10.2996/kmj/1214442798 ◽

2008 ◽

Vol 31 (2) ◽

pp. 263-271 ◽

Author(s):

Masaya Maeda

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Standing Waves ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Power Nonlinearity ◽

Stability And Instability ◽

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Thresholds for breather solutions of the discrete nonlinear Schrödinger equation with saturable and power nonlinearity

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2008.21.445 ◽

2008 ◽

Vol 21 (2) ◽

pp. 445-475 ◽

Author(s):

J. Cuevas ◽

◽

J. C. Eilbeck ◽

N. I. Karachalios ◽

◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Power Nonlinearity

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Subcritical localization in the discrete nonlinear Schrodinger equation with arbitrary power nonlinearity

Nonlinearity ◽

10.1088/0951-7715/7/1/008 ◽

1994 ◽

Vol 7 (1) ◽

pp. 205-218 ◽

Author(s):

O Bang ◽

J J Rasmussen ◽

P L Christiansen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Arbitrary Power ◽

Power Nonlinearity

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Asymptotic Behavior of Blow-Up Solutions of the Nonlinear Schrodinger Equation with Critical Power Nonlinearity

Proceedings of the Second International Colloquium on Numerical Analysis ◽

10.1515/9783112318805-015 ◽

1994 ◽

pp. 133-142

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Power ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Power Nonlinearity

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Asymptotic profiles of blow-up solutions of the nonlinear Schrödinger equation with critical power nonlinearity

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/04640557 ◽

1994 ◽

Vol 46 (4) ◽

pp. 557-586 ◽

Author(s):

Hayato NAWA

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Power ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Power Nonlinearity

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``Mass concentration'' phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity. II.

Kodai Mathematical Journal ◽

10.2996/kmj/1138039278 ◽

1990 ◽

Vol 13 (3) ◽

pp. 333-348 ◽

Author(s):

Hayato Nawa

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Mass Concentration ◽

Critical Power ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Power Nonlinearity ◽

Concentration Phenomenon

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L2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity

Journal of Differential Equations ◽

10.1016/0022-0396(90)90075-z ◽

1990 ◽

Vol 84 (2) ◽

pp. 205-214 ◽

Author(s):

Frank Merle ◽

Yoshio Tsutsumi

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Power ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Power Nonlinearity

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Asymptotic Expansion of the Solution to the Nonlinear Schrödinger Equation with Nonlocal Interaction

Journal of Functional Analysis ◽

10.1006/jfan.2000.3694 ◽

2001 ◽

Vol 180 (1) ◽

pp. 11-30 ◽

Author(s):

Takeshi Wada

Keyword(s):

Asymptotic Expansion ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlocal Interaction ◽

Nonlinear Schrödinger

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