Explicit construction of all spherically symmetric solitary waves for a nonlinear wave equation in multiple dimensions

DOI10.1016/0362-546X(88)90068-5zbMath0666.35064OpenAlexW1967950664MaRDI QIDQ3818706

E. Deumens, Henry A. Warchall

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90068-5

zbMATH Keywords

existencesolitary wavesnonlinear wave equationspherically symmetricnumerical analysis

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Solitary waves for incompressible inviscid fluids (76B25) Second-order nonlinear hyperbolic equations (35L70) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

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A proposed model in which solitons exhibit electron and proton-like behavior ⋮ A family of nonlinear Klein–Gordon equations and their solutions ⋮ Existence of nodal solutions of semilinear equations in \({\mathbb{R}}^ n\) ⋮ Localized solutions of sublinear elliptic equations: Loitering at the hilltop ⋮ Quantization of spin direction for solitary waves in a uniform magnetic field ⋮ Nodal solutions for a sublinear elliptic equation

Cites Work

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• Nonlinear scalar field equations. I: Existence of a ground state
• Stable standing waves of nonlinear Klein-Gordon equations
• Uniqueness of positive solutions of semilinear equations in \(R^ n\).
• Minimum action solutions of some vector field equations
• Instability of nonlinear bound states
• Existence of solitary waves in higher dimensions
• On the Infinitely Many Solutions of a Semilinear Elliptic Equation
• Uniqueness of solutions of semilinear Poisson equations

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