Exact solutions and generalized conditional symmetries to (1 + 1)-dimensional reaction-diffusion equations

Huabing Jia; Wei Xu; Hongxian Zhou

doi:10.1016/j.cnsns.2009.12.014

Exact solutions and generalized conditional symmetries to (1 + 1)-dimensional reaction-diffusion equations

Huabing Jia, Wei Xu, Hongxian Zhou

数学与统计学院

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

For the (1 + 1)-dimensional nonlinear reaction-diffusion equations, we obtain conditions under which the equations admit a class of second-order generalized conditional symmetries. η (u) = u_xx - H (u) u_x² - A (u) u_x - B (u). and first-order sign-invariants J (u) = u_t - F (u) u_x² - P (u) u_x - T (u) on the solutions u (x, t). Several different generalized conditional symmetries and first-order sign-invariants for equations are presented. Exact solutions to the resulting equations corresponding to the generalized conditional symmetries and first-order sign-invariants are constructed.

源语言	英语
页（从-至）	3367-3378
页数	12
期刊	Communications in Nonlinear Science and Numerical Simulation
卷	15
期	11
DOI	https://doi.org/10.1016/j.cnsns.2009.12.014
出版状态	已出版 - 11月 2010

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10.1016/j.cnsns.2009.12.014

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abstract = "For the (1 + 1)-dimensional nonlinear reaction-diffusion equations, we obtain conditions under which the equations admit a class of second-order generalized conditional symmetries. η (u) = uxx - H (u) ux2 - A (u) ux - B (u). and first-order sign-invariants J (u) = ut - F (u) ux2 - P (u) ux - T (u) on the solutions u (x, t). Several different generalized conditional symmetries and first-order sign-invariants for equations are presented. Exact solutions to the resulting equations corresponding to the generalized conditional symmetries and first-order sign-invariants are constructed.",

keywords = "Exact solution, Generalized conditional symmetries, Reaction-diffusion equation, Sign-invariant",

author = "Huabing Jia and Wei Xu and Hongxian Zhou",

year = "2010",

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doi = "10.1016/j.cnsns.2009.12.014",

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T1 - Exact solutions and generalized conditional symmetries to (1 + 1)-dimensional reaction-diffusion equations

AU - Jia, Huabing

AU - Xu, Wei

AU - Zhou, Hongxian

PY - 2010/11

Y1 - 2010/11

N2 - For the (1 + 1)-dimensional nonlinear reaction-diffusion equations, we obtain conditions under which the equations admit a class of second-order generalized conditional symmetries. η (u) = uxx - H (u) ux2 - A (u) ux - B (u). and first-order sign-invariants J (u) = ut - F (u) ux2 - P (u) ux - T (u) on the solutions u (x, t). Several different generalized conditional symmetries and first-order sign-invariants for equations are presented. Exact solutions to the resulting equations corresponding to the generalized conditional symmetries and first-order sign-invariants are constructed.

AB - For the (1 + 1)-dimensional nonlinear reaction-diffusion equations, we obtain conditions under which the equations admit a class of second-order generalized conditional symmetries. η (u) = uxx - H (u) ux2 - A (u) ux - B (u). and first-order sign-invariants J (u) = ut - F (u) ux2 - P (u) ux - T (u) on the solutions u (x, t). Several different generalized conditional symmetries and first-order sign-invariants for equations are presented. Exact solutions to the resulting equations corresponding to the generalized conditional symmetries and first-order sign-invariants are constructed.

KW - Exact solution

KW - Generalized conditional symmetries

KW - Reaction-diffusion equation

KW - Sign-invariant

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U2 - 10.1016/j.cnsns.2009.12.014

DO - 10.1016/j.cnsns.2009.12.014

M3 - 文章

AN - SCOPUS:77952238446

SN - 1007-5704

VL - 15

SP - 3367

EP - 3378

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 11

ER -

Exact solutions and generalized conditional symmetries to (1 + 1)-dimensional reaction-diffusion equations

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