Work

Higher Order Nonlinear Schrödinger Equation in Domains With Moving Boundaries

Year: 2025

Type: article

Abstract: ABSTRACT The initial boundary value problem in a bounded domain with moving boundaries and nonhomogeneous boundary conditions for a higher order nonlinear Schrödinger (HNLS) equation is considered. Existence and uniqueness of global weak solutions are proved as well as the stability of the solution. Additionally, a conservative numerical method of finite differences is introduced that also verifies stability properties with respect to the ‐norm, and along with proving its convergence, some interesting numerical examples are shown that illustrate the behavior of the solution.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.11000

Authors: Raúl Nina‐Mollisaca, Mauricio Sepúlveda‐Cortés, Rodrigo Véjar‐Asem, Octavio Vera‐Villagrán

Institutions: Jorge Basadre Grohmann National University, University of Concepción, University of La Serena, University of Tarapacá

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4409753954

FWCI:

Cites: 28

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Related to: 10