Soliton Solutions for Quasilinear Schrödinger Equations Involving Convolution and Critical Nonlinearities

Journal of Geometric Analysis ◽

10.1007/s12220-021-00740-y ◽

2021 ◽

Vol 32 (1) ◽

Author(s):

Sihua Liang ◽

Binlin Zhang

Keyword(s):

Soliton Solutions ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Critical Nonlinearities

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Multi-soliton solutions of the N-component nonlinear Schrödinger equations via Riemann–Hilbert approach

Nonlinear Dynamics ◽

10.1007/s11071-021-06706-7 ◽

2021 ◽

Author(s):

Yan Li ◽

Jian Li ◽

Ruiqi Wang

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Soliton solutions to systems of coupled Schrödinger equations of Hamiltonian type

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2010-04982-7 ◽

2010 ◽

Vol 362 (11) ◽

pp. 5729-5729 ◽

Author(s):

Boyan Sirakov ◽

Sérgio H. M. Soares

Keyword(s):

Soliton Solutions ◽

Schrodinger Equations ◽

Schrödinger Equations

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Exact Soliton Solutions, Shape Changing Collisions, and Partially Coherent Solitons in Coupled Nonlinear Schrödinger Equations

Physical Review Letters ◽

10.1103/physrevlett.86.5043 ◽

2001 ◽

Vol 86 (22) ◽

pp. 5043-5046 ◽

Author(s):

T. Kanna ◽

M. Lakshmanan

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Partially Coherent ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Exact Soliton Solutions

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Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-016-1045-0 ◽

2016 ◽

Vol 55 (4) ◽

Author(s):

Xiaoming He ◽

Wenming Zou

Keyword(s):

Schrodinger Equations ◽

Schrödinger Equations ◽

Critical Nonlinearities ◽

Fractional Schrödinger Equations ◽

Concentration Result

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Soliton solutions for quasilinear Schrödinger equations

Journal of Mathematical Physics ◽

10.1063/1.4811394 ◽

2013 ◽

Vol 54 (7) ◽

pp. 071502 ◽

Author(s):

Jun Yang ◽

Youjun Wang ◽

Ahamed Adam Abdelgadir

Keyword(s):

Soliton Solutions ◽

Schrodinger Equations ◽

Schrödinger Equations

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Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth

Journal of Differential Equations ◽

10.1016/j.jde.2014.09.006 ◽

2015 ◽

Vol 258 (1) ◽

pp. 115-147 ◽

Author(s):

Yinbin Deng ◽

Shuangjie Peng ◽

Shusen Yan

Keyword(s):

Soliton Solutions ◽

Critical Growth ◽

Schrodinger Equations ◽

Schrödinger Equations

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Multi-soliton solutions of coupled nonlinear Schrödinger Equations

Chinese Physics Letters ◽

10.1088/0256-307x/4/4/011 ◽

1987 ◽

Vol 4 (4) ◽

pp. 185-187 ◽

Author(s):

Yan Zhida

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Exact quasi-soliton solutions and soliton interaction for the inhomogeneous coupled nonlinear Schrödinger equations

Journal of Modern Optics ◽

10.1080/09500340903531370 ◽

2010 ◽

Vol 57 (4) ◽

pp. 261-272 ◽

Author(s):

C.G. Latchio Tiofack ◽

Alidou Mohamadou ◽

Timoléon C. Kofané ◽

K. Porsezian

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Soliton Interaction ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Nonlocal nonlinear Schrödinger equations and their soliton solutions

Journal of Mathematical Physics ◽

10.1063/1.4997835 ◽

2018 ◽

Vol 59 (5) ◽

pp. 051501 ◽

Author(s):

Metin Gürses ◽

Aslı Pekcan

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Nonlocal Nonlinear

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Optical soliton solutions of perturbing time-fractional nonlinear Schrödinger equations

Optik ◽

10.1016/j.ijleo.2020.164589 ◽

2020 ◽

Vol 209 ◽

pp. 164589 ◽

Author(s):

M.S. Osman ◽

Khalid K. Ali

Keyword(s):

Soliton Solutions ◽

Optical Soliton ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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