Some new solutions for the Derrida-Lebowitz-Speer-Spohn equation

被引：1

作者：

Ramirez, J. ^{[1
]}

Romero, J. L. ^{[1
]}

Tracina, R. ^{[2
]}

机构：

[1] Univ Cadiz, Dept Matemat, Cadiz, Spain

[2] Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 09期

关键词：

Derrida-Lebowitz-Speer-Spohn equation; Classical symmetries; Exact solutions; Compactons; Soliton-compactons; EXISTENCE; FAMILY;

D O I：

10.1016/j.cnsns.2013.01.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The well-known Derrida-Lebowitz-Speer-Spohn equation is investigated. By using specific ansatze and the classical symmetries of the equation, several families of new exact solutions have been found. In particular, there appear traveling waves that include compactons and soliton-compactons. Some other solutions conserve the mass and exhibit diffusion and convection processes from an instantaneous source and localized peakons. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：2388 / 2397

页数：10

共 50 条

[11] Lie Symmetry Analysis and Some New Exact Solutions to the KP-BBM Equation
Ghosh, Arindam
Maitra, Sarit
[J]. JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2024, 13 (02) : 323 - 336
[12] New exact solutions of the mBBM equation
Zhang, Zhe
Li, Desheng
[J]. JOURNAL OF ATOMIC AND MOLECULAR SCIENCES, 2014, 5 (01): : 58 - 63
[13] New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics
Baskonus, Haci Mehmet
Bulut, Hasan
[J]. ENTROPY, 2015, 17 (06): : 4255 - 4270
[14] New exact solutions to a new Hamiltonian amplitude equation
Peng, YZ
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2003, 72 (08) : 1889 - 1890
[15] Some exact solutions of KdV equation with variable coefficients
Latif, M. S. Abdel
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (04) : 1783 - 1786
[16] EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION
夏莉
李敬娜
刘强
[J]. Acta Mathematica Scientia, 2016, (06) : 1651 - 1661
[17] EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION
Xia, Li
Li, Jingna
Liu, Qiang
[J]. ACTA MATHEMATICA SCIENTIA, 2016, 36 (06) : 1651 - 1661
[18] On some properties of elliptic partial differential equation solutions
Gushchin, A. K.
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2022, 37 (20-21):
[19] Lie Symmetry Analysis and Some New Exact Solutions for a Variable Coefficient Modified Kortweg - De Vries Equation Arising in Arterial Mechanics
Latif, M. S. Abdel
[J]. IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2011, 11 (02): : 42 - 48
[20] New static solutions of symmetric φ4 equation
Khare, Avinash
Banerjee, Saikat
Saxena, Avadh
[J]. ANNALS OF PHYSICS, 2023, 455

← 1 2 3 4 5 →