Results 1 to 10 of about 82 (73)

Existence of multiple nontrivial solutions of the nonlinear Schrödinger-Korteweg-de Vries type system

Advances in Nonlinear Analysis, 2021
In this paper we are concerned with the existence, nonexistence and bifurcation of nontrivial solution of the nonlinear Schrödinger-Korteweg-de Vries type system(NLS-NLS-KdV).
Geng Qiuping, Wang Jun, Yang Jing
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Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation

Advanced Nonlinear Studies, 2021
In this paper we study the existence as well as uniform decay rates of the energy associated with the nonlinear damped Schrödinger equation,
Cavalcanti Marcelo M., Domingos Cavalcanti Valéria N.   +1 more
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Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential

Advances in Nonlinear Analysis, 2021
This paper studies the mass-critical variable coefficient nonlinear Schrödinger equation. We first get the existence of the ground state by solving a minimization problem.
Pan Jingjing, Zhang Jian
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Infinitely many solutions for quasilinear Schrödinger equations with sign-changing nonlinearity without the aid of 4-superlinear at infinity

Demonstratio Mathematica, 2022
In this article, we will prove the existence of infinitely many solutions for a class of quasilinear Schrödinger equations without assuming the 4-superlinear at infinity on the nonlinearity. We achieve our goal by using the Fountain theorem.
Khiddi Mustapha, Essafi Lakbir
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Existence of normalized solutions for the coupled elliptic system with quadratic nonlinearity

Advanced Nonlinear Studies, 2022
In the present paper, we study the existence of the normalized solutions for the following coupled elliptic system with quadratic nonlinearity −Δu−λ1u=μ1∣u∣u+βuvinRN,−Δv−λ2v=μ2∣v∣v+β2u2inRN,\left\{\begin{array}{ll}-\Delta u-{\lambda }_{1}u={\mu }_{1}| u|
Wang Jun, Wang Xuan, Wei Song
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Solitons for the coupled matrix nonlinear Schrödinger-type equations and the related Schrödinger flow

Open Mathematics, 2023
In this article, the coupled matrix nonlinear Schrödinger (NLS) type equations are gauge equivalent to the equation of Schrödinger flow from R1{{\mathbb{R}}}^{1} to complex Grassmannian manifold G˜n,k=GL(n,C)∕GL(k,C)×GL(n−k,C),{\widetilde{G}}_{n,k}={\rm ...
Zhong Shiping, Zhao Zehui, Wan Xinjie
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GLOBAL WELL-POSEDNESS OF THE PERIODIC CUBIC FOURTH ORDER NLS IN NEGATIVE SOBOLEV SPACES

Forum of Mathematics, Sigma, 2018
We consider the Cauchy problem for the cubic fourth order nonlinear Schrödinger equation (4NLS) on the circle. In particular, we prove global well-posedness of the renormalized 4NLS in negative Sobolev spaces $H^{s}(\mathbb{T})$
TADAHIRO OH, YUZHAO WANG
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The homogeneous balance of undetermined coefficients method and its application

Open Mathematics, 2016
The homogeneous balance of undetermined coefficients method is firstly proposed to solve such nonlinear partial differential equations (PDEs), the balance numbers of which are not positive integers.
Wei Yi, He Xin-Dang, Yang Xiao-Feng
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Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction

Advances in Nonlinear Analysis, 2021
In the present paperwe study the existence of nontrivial solutions of a class of static coupled nonlinear fractional Hartree type system. First, we use the direct moving plane methods to establish the maximum principle(Decay at infinity and Narrow region
Wang Jun
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Stability of solitary-wave solutions of coupled NLS equations with power-type nonlinearities

Advances in Nonlinear Analysis, 2015
This paper proves existence and stability of solitary-wave solutions of a system of 2-coupled nonlinear Schrödinger equations with power-type nonlinearities arising in several models of modern physics. The existence of vector solitary-wave solutions (i.e.
Bhattarai Santosh
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