Nodal soliton solutions for generalized quasilinear Schrödinger equations
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Publication:5171348
DOI10.1063/1.4874108zbMath1292.81037OpenAlexW2337765878MaRDI QIDQ5171348
Shuangjie Peng, Yinbin Deng, Ji-xiu Wang
Publication date: 26 July 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4874108
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Variational principles of physics (49S05) Soliton solutions (35C08)
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Cites Work
- Infinitely many sign-changing solutions for quasilinear Schrödinger equations in \({\mathbb R}^N\)
- Characteristic values associated with a class of nonlinear second-order differential equations
- Energy bounds for entire nodal solutions of autonomous superlinear equations
- On instability of excited states of the nonlinear Schrödinger equation
- Solitary waves for quasilinear Schrödinger equations
- A selection-migration model in population genetics
- Existence of solitary waves in higher dimensions
- Infinitely many nonradial solutions of a Euclidean scalar field equation
- Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
- Global existence of small solutions to a relativistic nonlinear Schrödinger equation
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- Radial solutions of superlinear equations on \(\mathbb{R}^N\). I: A global variational approach
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Quasilinear elliptic equations with critical growth via perturbation method
- Soliton solutions for quasilinear Schrödinger equations. II.
- Soliton solutions for generalized quasilinear Schrödinger equations
- Dual variational methods in critical point theory and applications
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Evolution theorem for a class of perturbed envelope soliton solutions
- Nash moser methods for the solution of quasilinear schrödinger equations
- Soliton solutions for quasilinear Schrödinger equations, I
- Quasilinear elliptic equations via perturbation method
- Nodal soliton solutions for quasilinear Schrödinger equations with critical exponent
- Symmetric solutions to a modified nonlinear Schrödinger equation
- On the local well posedness of quasilinear Schrödinger equations in arbitrary space dimension
- Unnamed Item
- Unnamed Item
- Unnamed Item
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