On the Numerical Solution to a Nonlinear Wave Equation Associated with the First Painlevé Equation: An Operator-Splitting Approach

Partial Differential Equations: Theory, Control and Approximation ◽

10.1007/978-3-642-41401-5_10 ◽

2014 ◽

pp. 243-264 ◽

Cited By ~ 1

Author(s):

Roland Glowinski ◽

Annalisa Quaini

Keyword(s):

Wave Equation ◽

Numerical Solution ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Operator Splitting ◽

Painlevé Equation ◽

Painleve Equation

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On the numerical solution to a nonlinear wave equation associated with the first painlevé equation: an operator-splitting approach

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-013-0764-1 ◽

2013 ◽

Vol 34 (2) ◽

pp. 237-254 ◽

Cited By ~ 1

Author(s):

Roland Glowinski ◽

Annalisa Quaini

Keyword(s):

Wave Equation ◽

Numerical Solution ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Operator Splitting ◽

Painlevé Equation ◽

Painleve Equation

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Numerical solution of Cauchy problem for second order nonlinear wave equation with changeable type in a class of discontinues functions

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00736-1 ◽

2004 ◽

Vol 147 (2) ◽

pp. 423-437 ◽

Cited By ~ 1

Author(s):

Mahir Rasulov ◽

Turhan Karaguler ◽

Bahaddin Sinsoysal

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Numerical Solution ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Second Order

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A novel numerical solution to the diffraction term in the KZK nonlinear wave equation

2009 38th Annual Symposium of the Ultrasonic Industry Association (UIA) ◽

10.1109/uia.2009.5404032 ◽

2009 ◽

Cited By ~ 3

Author(s):

M. Hajihasani ◽

Y. Farjami ◽

S. Gharibzadeh ◽

J. Tavakkoli

Keyword(s):

Wave Equation ◽

Numerical Solution ◽

Nonlinear Wave ◽

Nonlinear Wave Equation

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Numerical Solution of Robin-Dirichlet Problem for a Nonlinear Wave Equation with Memory Term

Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering - Nature of Computation and Communication ◽

10.1007/978-3-030-92942-8_15 ◽

2021 ◽

pp. 178-191

Author(s):

Le Thi Mai Thanh ◽

Tran Trinh Manh Dung ◽

Nguyen Huu Nhan

Keyword(s):

Wave Equation ◽

Dirichlet Problem ◽

Numerical Solution ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Memory Term ◽

With Memory

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Numerical Solution of a Model Nonlinear Wave Equation

Industrial Vibration Modelling ◽

10.1007/978-94-009-4480-0_17 ◽

1987 ◽

pp. 245-250

Author(s):

J. Caldwell

Keyword(s):

Wave Equation ◽

Numerical Solution ◽

Nonlinear Wave ◽

Nonlinear Wave Equation

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Numerical solution of a nonlinear wave equation in polar coordinates

Applied Mathematics and Computation ◽

10.1016/0096-3003(84)90006-7 ◽

1984 ◽

Vol 14 (4) ◽

pp. 313-329 ◽

Cited By ~ 4

Author(s):

Kuo Pen-Yu ◽

Luis Vázquez

Keyword(s):

Wave Equation ◽

Numerical Solution ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Polar Coordinates

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Existence and uniqueness of solutions for a class of abstract nonlinear wave equation

Proceedings of the seventh International Colloquium on Differential Equations ◽

10.1515/9783112319185-009 ◽

1997 ◽

pp. 57-66

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Existence And Uniqueness ◽

Uniqueness Of Solutions

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Resonant line wave soliton solutions and interaction solutions for (2+1)-dimensional nonlinear wave equation

Results in Physics ◽

10.1016/j.rinp.2021.104480 ◽

2021 ◽

pp. 104480

Author(s):

Qingqing Chen ◽

Zequn Qi ◽

Junchao Chen ◽

Biao Li

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Soliton Solutions ◽

Resonant Line ◽

Interaction Solutions

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On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history

Journal of Mathematical Physics ◽

10.1063/5.0003515 ◽

2021 ◽

Vol 62 (3) ◽

pp. 031512

Author(s):

Adel M. Al-Mahdi ◽

Mohammad M. Al-Gharabli ◽

Mohammad Kafini ◽

Shadi Al-Omari

Keyword(s):

Asymptotic Behavior ◽

Wave Equation ◽

Global Existence ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

Past History

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Quasi-periodic solutions for nonlinear wave equation with singular Legendre potential

Boundary Value Problems ◽

10.1186/s13661-019-1225-x ◽

2019 ◽

Vol 2019 (1) ◽

Cited By ~ 1

Author(s):

Guanghua Shi ◽

Dongfeng Yan

Keyword(s):

Wave Equation ◽

Periodic Solutions ◽

Nonlinear Wave ◽

Nonlinear Wave Equation

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