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Keywords
(5)
Hyperbolic Equation
nonlinear schrodinger equation
Nonlinear Wave Equation
Wave Equation
Space Time
Related Publications
(1)
New solutions of the wave equation by reduction to the heat equation
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Solutions of the relativistic nonlinear wave equation by solutions of the nonlinear Schrodinger equation
Solutions of the relativistic nonlinear wave equation by solutions of the nonlinear Schrodinger equation,P. BASARABHORWATH,W. I. FUSHCHYCH,L. F. BARA
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Solutions of the relativistic nonlinear wave equation by solutions of the nonlinear Schrodinger equation
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Citations: 3
)
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P. BASARABHORWATH
,
W. I. FUSHCHYCH
,
L. F. BARANNYK
Using an ansatz for nonlinear complex wave equations obtained by using Lie point symmetries, we show how to construct new solutions of the relativistic
nonlinear wave equation
from those of a
nonlinear Schrodinger equation
with the same nonlinearity. This ansatz reduces the number of spacetime variables by one, and is not related to a contraction. We give some examples of other types of hyperbolic equations admitting solutions based on nonlinear Schrodinger equations.
Published in 2004.
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Citation Context
(1)
...Such reduction allowed construction of numerous new solutions for the nonlinear wave equation by means of the solutions of a nonlinear Schr¨odinger equation [12,
13
]...
Irina Yehorchenko
.
Differential Invariants and Construction of Conditionally Invariant Eq...
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Nature
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Citations
(3)
Applications of Elliptic and Theta Functions to FriedmannRobertsonLemaitreWalker Cosmology with Cosmological Constant
Jennie D'Ambroise
Published in 2009.
Differential Invariants and Construction of Conditionally Invariant Equations
(
Citations: 2
)
Irina Yehorchenko
Published in 2003.
On a new conformal symmetry for a complex scalar field
(
Citations: 1
)
Peter BasarabHorwath
,
W. Fushchych
,
Olena Roman
Journal:
Physics Letters A  PHYS LETT A
, vol. 226, no. 3, pp. 150154, 1997