Functionally Invariant Solutions of the Wave Equation

Lie symmetry analysis, optimal system and invariant solutions of (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles

The European Physical Journal Plus ◽

10.1140/epjp/s13360-021-01073-z ◽

2021 ◽

Vol 136 (2) ◽

Cited By ~ 1

Author(s):

Shalini Yadav ◽

Rajan Arora

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Gas Bubbles ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Optimal System ◽

Invariant Solutions ◽

Lie Symmetry Analysis

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Generalized Functional Invariant Solutions of the Wave Equation in Dimension 2

Journal of Mathematical Sciences ◽

10.1007/s10958-019-04183-3 ◽

2019 ◽

Vol 237 (4) ◽

pp. 569-575

Author(s):

M. V. Neshchadim

Keyword(s):

Wave Equation ◽

Invariant Solutions ◽

Dimension 2

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Closed form invariant solutions of (2+1)-dimensional extended shallow water wave equation via Lie approach

The European Physical Journal Plus ◽

10.1140/epjp/s13360-020-00826-6 ◽

2020 ◽

Vol 135 (10) ◽

Author(s):

Mukesh Kumar ◽

Kumari Manju

Keyword(s):

Wave Equation ◽

Shallow Water ◽

Closed Form ◽

Water Wave ◽

Invariant Solutions ◽

Shallow Water Wave

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Optimal system and group invariant solutions for a nonlinear wave equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/s1007-5704(03)00018-2 ◽

2004 ◽

Vol 9 (1) ◽

pp. 93-104 ◽

Cited By ~ 6

Author(s):

G.H Maluleke ◽

D.P Mason

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Optimal System ◽

Invariant Solutions ◽

Group Invariant ◽

Group Invariant Solutions

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Invariant solutions of the underwater acoustic wave equation

Computers & Mathematics with Applications ◽

10.1016/0898-1221(85)90164-6 ◽

1985 ◽

Vol 11 (7-8) ◽

pp. 681-685 ◽

Cited By ~ 1

Author(s):

W.F. Ames

Keyword(s):

Wave Equation ◽

Acoustic Wave ◽

Invariant Solutions ◽

Acoustic Wave Equation ◽

Underwater Acoustic

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Symmetries and invariant solutions of the planar paraxial wave equation in photosensitive media

Physical Review E ◽

10.1103/physreve.65.066607 ◽

2002 ◽

Vol 65 (6) ◽

Cited By ~ 5

Author(s):

M. Senthilvelan ◽

L. Poladian ◽

C. Martijn de Sterke

Keyword(s):

Wave Equation ◽

Invariant Solutions ◽

Paraxial Wave Equation

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Group properties and invariant solutions for infinitesimal transformations of a non-linear wave equation

International Journal of Non-Linear Mechanics ◽

10.1016/0020-7462(85)90007-1 ◽

1985 ◽

Vol 20 (3) ◽

pp. 135-144 ◽

Cited By ~ 26

Author(s):

M. Torrisi ◽

A. Valenti

Keyword(s):

Wave Equation ◽

Linear Wave ◽

Invariant Solutions ◽

Linear Wave Equation ◽

Non Linear ◽

Infinitesimal Transformations

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Invariant solutions of a nonlinear wave equation with a small dissipation obtained via approximate symmetries

Ricerche di Matematica ◽

10.1007/s11587-020-00486-9 ◽

2020 ◽

Vol 69 (2) ◽

pp. 509-532

Author(s):

A. M. Grundland ◽

A. J. Hariton

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Invariant Solutions ◽

Approximate Symmetries ◽

Small Dissipation

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Spherical Generalized Functional-Invariant Solutions to the Wave Equation

Journal of Mathematical Sciences ◽

10.1007/s10958-015-2635-7 ◽

2015 ◽

Vol 211 (6) ◽

pp. 805-810 ◽

Cited By ~ 1

Author(s):

M. V. Neshchadim

Keyword(s):

Wave Equation ◽

Invariant Solutions

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Conservation laws and invariant solutions of the wave equation on Bianchi I space–time: A comprehensive analysis

Optik ◽

10.1016/j.ijleo.2021.166364 ◽

2021 ◽

Vol 231 ◽

pp. 166364

Author(s):

Muhammad Alim Abdulwahhab

Keyword(s):

Wave Equation ◽

Conservation Laws ◽

Space Time ◽

Comprehensive Analysis ◽

Invariant Solutions ◽

Bianchi I

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