메뉴 건너뛰기




Volumn 18, Issue 2, 2011, Pages 279-290

Conservation laws for self-adjoint first-order evolution equation

Author keywords

conservation laws; Ibragimov's theorem; inviscid Burgers equation; Lie point symmetry

Indexed keywords


EID: 79955551595     PISSN: 14029251     EISSN: None     Source Type: Journal    
DOI: 10.1142/S1402925111001453     Document Type: Article
Times cited : (22)

References (32)
  • 2
    • 33646710135 scopus 로고    scopus 로고
    • New conservation laws obtained directly from symmetry action on a known conservation law
    • DOI 10.1016/j.jmaa.2005.08.092, PII S0022247X05008711
    • G. Bluman, Temuerchaolu and S. C. Anco, New conservation laws obtained directly from symmetry action on a known conservation law, J. Math. Anal. Appl. 322 (1) (2006) 233-250. (Pubitemid 43733363)
    • (2006) Journal of Mathematical Analysis and Applications , vol.322 , Issue.1 , pp. 233-250
    • Bluman, G.1    Temuerchaolu2    Anco, S.C.3
  • 3
    • 41149164639 scopus 로고    scopus 로고
    • Conservations laws for critical Kohn-laplace equations on the Heisenberg group
    • Y. D. Bozhkov and I. L. Freire, Conservations laws for critical Kohn-Laplace equations on the Heisenberg group, J. Nonlinear Math. Phys. 15 (1) (2008) 35-47.
    • (2008) J. Nonlinear Math. Phys. , vol.15 , Issue.1 , pp. 35-47
    • Bozhkov, Y.D.1    Freire, I.L.2
  • 4
    • 77952910926 scopus 로고    scopus 로고
    • Special conformal groups of a riemannian manifold and the Lie point symmetries of the nonlinear Poisson equations
    • Y. Bozhkov and I. L. Freire, Special conformal groups of a riemannian manifold and the Lie point symmetries of the nonlinear Poisson equations, J. Differential Equations 249 (4) (2010) 872-913.
    • (2010) J. Differential Equations , vol.249 , Issue.4 , pp. 872-913
    • Bozhkov, Y.1    Freire, I.L.2
  • 5
    • 67349205838 scopus 로고    scopus 로고
    • Self-adjoint sub-classes of generalized thin film equations
    • M. S. Bruzón, M. L. Gandarias and N. H. Ibragimov, Self-adjoint sub-classes of generalized thin film equations, J. Math. Anal. Appl. 357 (1) (2009) 307-313.
    • (2009) J. Math. Anal. Appl. , vol.357 , Issue.1 , pp. 307-313
    • Bruzón, M.S.1    Gandarias, M.L.2    Ibragimov, N.H.3
  • 6
    • 40649110007 scopus 로고    scopus 로고
    • Lie symmetries and form-preserving transformations of reaction-diffusion-convection equations
    • R. Cherniha, M. Serov and I. Rassokha, Lie symmetries and form-preserving transformations of reaction-diffusion-convection equations, J. Math. Anal. Appl. 342 (2) (2008) 1363-1379.
    • (2008) J. Math. Anal. Appl. , vol.342 , Issue.2 , pp. 1363-1379
    • Cherniha, R.1    Serov, M.2    Rassokha, I.3
  • 7
    • 57649099471 scopus 로고    scopus 로고
    • Statistical moments of the solution of the random Burgers Riemann problem
    • M. C. C. Cunha and F. A. Dorini, Statistical moments of the solution of the random Burgers Riemann problem, Math. Comput. Simulation 79 (5) (2009) 1440-1451.
    • (2009) Math. Comput. Simulation , vol.79 , Issue.5 , pp. 1440-1451
    • Cunha, M.C.C.1    Dorini, F.A.2
  • 8
    • 49349084442 scopus 로고    scopus 로고
    • Statistical moments of the random linear transport equation
    • F. A. Dorini and M. C. C. Cunha, Statistical moments of the random linear transport equation, J. Comput. Phys. 227 (19) (2008) 8541-8550.
    • (2008) J. Comput. Phys. , vol.227 , Issue.19 , pp. 8541-8550
    • Dorini, F.A.1    Cunha, M.C.C.2
  • 9
    • 34247392820 scopus 로고    scopus 로고
    • A finite volume method for the mean of the solution of the random transport equation
    • DOI 10.1016/j.amc.2006.09.029, PII S0096300306012239
    • F. A. Dorini and M. C. C. Cunha, A finite volume method for the mean of the solution of the random transport equation, Appl. Math. Comput. 187 (2) (2007) 912-921. (Pubitemid 46629194)
    • (2007) Applied Mathematics and Computation , vol.187 , Issue.2 , pp. 912-921
    • Dorini, F.A.1    Cunha, M.C.C.2
  • 10
    • 77949773252 scopus 로고    scopus 로고
    • On the paper "Symmetry analysis of wave equation on sphere" by H. Azad and M. T. Mustafa
    • I. L. Freire, On the paper "Symmetry analysis of wave equation on sphere" by H. Azad and M. T. Mustafa, J. Math. Anal. Appl. 367 (2) (2010) 716-720.
    • (2010) J. Math. Anal. Appl. , vol.367 , Issue.2 , pp. 716-720
    • Freire, I.L.1
  • 11
    • 79957527125 scopus 로고    scopus 로고
    • Self-adjoint sub-classes of third and fourth-order evolution equations
    • I. L. Freire, Self-adjoint sub-classes of third and fourth-order evolution equations, Appl. Math. Comp. 217 (22) (2011) 9467-9473.
    • (2011) Appl. Math. Comp. , vol.217 , Issue.22 , pp. 9467-9473
    • Freire, I.L.1
  • 12
    • 34547491252 scopus 로고    scopus 로고
    • On some differential invariants for a family of diffusion equations
    • M. L. Gandarias, M. Torrisi and R. Tracinà, On some differential invariants for a family of diffusion equations, J. Phys. A: Math. Theor. 40 (30) (2007) 8803-8813.
    • (2007) J. Phys. A: Math. Theor. , vol.40 , Issue.30 , pp. 8803-8813
    • Gandarias, M.L.1    Torrisi, M.2    Tracinà, R.3
  • 13
    • 34548149779 scopus 로고    scopus 로고
    • Equivalence group of a fourth-order evolution equation unifying various non-linear models
    • DOI 10.1016/j.cnsns.2005.12.011, PII S1007570406000220
    • M. L. Gandarias and N. H. Ibragimov, Equivalence group of a fourth-order evolution equation unifying various non-linear models, Commun. Nonlinear Sci. Numer. Simul. 13 (2) (2008) 259-268. (Pubitemid 47304004)
    • (2008) Communications in Nonlinear Science and Numerical Simulation , vol.13 , Issue.2 , pp. 259-268
    • Gandarias, M.L.1    Ibragimov, N.H.2
  • 14
    • 0032310262 scopus 로고    scopus 로고
    • Lie symmetry analysis of differential equations in finance
    • R. Gazizov and N. Ibragimov, Lie symmetry analysis of differential equations in finance, Nonlinear Dyn. 17 (4) (1998) 387-407. (Pubitemid 128514359)
    • (1998) Nonlinear Dynamics , vol.17 , Issue.4 , pp. 387-407
    • Gazizov, R.K.1    Ibragimov, N.H.2
  • 16
    • 34248188617 scopus 로고    scopus 로고
    • A new conservation theorem
    • N. H. Ibragimov, A new conservation theorem, J. Math. Anal. Appl. 333 (1) (2007) 311-328.
    • (2007) J. Math. Anal. Appl. , vol.333 , Issue.1 , pp. 311-328
    • Ibragimov, N.H.1
  • 17
    • 67349131722 scopus 로고    scopus 로고
    • Quasi-self-adjoint differential equations
    • N. H. Ibragimov, Quasi-self-adjoint differential equations, Archives of ALGA (2007).
    • (2007) Archives of ALGA
    • Ibragimov, N.H.1
  • 18
    • 0036297704 scopus 로고    scopus 로고
    • Group classification of nonlinear evolution equations: I. Invariance under semisimple local transformation groups
    • DOI 10.1023/A:1016014026651
    • V. I. Lahno and A. M. Samoilenko, Group classification of nonlinear evolution equations. I. Invariance under semisimple local transformation groups, Differ. Equ. 38 (3) (2002) 384-391. (Pubitemid 37131788)
    • (2002) Differential Equations , vol.38 , Issue.3 , pp. 384-391
    • Lagno, V.I.1    Samoilenko, A.M.2
  • 19
    • 59449089762 scopus 로고    scopus 로고
    • Lie symmetries of inviscid Burgers equation
    • M. Nadjafikhah, Lie symmetries of inviscid Burgers equation, Adv. Appl. Clifford Algebras 19 (1) (2009) 101-112.
    • (2009) Adv. Appl. Clifford Algebras , vol.19 , Issue.1 , pp. 101-112
    • Nadjafikhah, M.1
  • 20
    • 77952242700 scopus 로고    scopus 로고
    • Classification of similarity solutions for inviscid Burgers equation
    • M. Nadjafikhah, Classification of similarity solutions for inviscid Burgers equation, Adv. Appl. Clifford Algebras 20 (1) (2009) 71-77.
    • (2009) Adv. Appl. Clifford Algebras , vol.20 , Issue.1 , pp. 71-77
    • Nadjafikhah, M.1
  • 21
    • 43549098221 scopus 로고    scopus 로고
    • Interactions of delta shock waves in a strictly hyperbolic system of conservation laws
    • M. Nedeljkov and M. Oberguggenberger, Interactions of delta shock waves in a strictly hyperbolic system of conservation laws, J. Math. Anal. Appl. 344 (2) (2008) 1143-1157.
    • (2008) J. Math. Anal. Appl. , vol.344 , Issue.2 , pp. 1143-1157
    • Nedeljkov, M.1    Oberguggenberger, M.2
  • 22
    • 54049148104 scopus 로고    scopus 로고
    • Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
    • R. Naz, F. M. Mahomed and D. P. Mason, Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics, Appl. Math. Comput. 205 (1) (2008) 212-230.
    • (2008) Appl. Math. Comput. , vol.205 , Issue.1 , pp. 212-230
    • Naz, R.1    Mahomed, F.M.2    Mason, D.P.3
  • 25
    • 3543026312 scopus 로고    scopus 로고
    • New results on group classification of nonlinear diffusion-convection equations
    • DOI 10.1088/0305-4470/37/30/011, PII S0305447004673124
    • R. O. Popovych and N. M. Ivanova, New results on group classification of nonlinear diffusionconvection equations, J. Phys. A 37 (30) (2004) 7547-7565. (Pubitemid 39016107)
    • (2004) Journal of Physics A: Mathematical and General , vol.37 , Issue.30 , pp. 7547-7565
    • Popovych, R.O.1    Ivanova, N.M.2
  • 26
    • 33644589322 scopus 로고    scopus 로고
    • Symmetries and solutions to the thin film equations
    • DOI 10.1016/j.jmaa.2005.07.040, PII S0022247X05007183
    • C. Qu, Symmetries and solutions to the thin film equations, J. Math. Anal. Appl. 317 (2) (2006) 381-397. (Pubitemid 43308793)
    • (2006) Journal of Mathematical Analysis and Applications , vol.317 , Issue.2 , pp. 381-397
    • Qu, C.1
  • 27
    • 0037673323 scopus 로고    scopus 로고
    • Distributional products and global solutions for nonconservative inviscid Burgers equation
    • DOI 10.1016/S0022-247X(03)00187-2
    • C. O. R. Sarrico, Distributional products and global solutions for nonconservative inviscid Burgers equation, J. Math. Anal. Appl. 281 (2) (2003) 641-656. (Pubitemid 36809442)
    • (2003) Journal of Mathematical Analysis and Applications , vol.281 , Issue.2 , pp. 641-656
    • Sarrico, C.O.R.1
  • 28
    • 33644598987 scopus 로고    scopus 로고
    • New solutions for the one-dimensional nonconservative inviscid Burgers equation
    • DOI 10.1016/j.jmaa.2005.06.037, PII S0022247X05005305
    • C. O. R. Sarrico, New solutions for the one-dimensional nonconservative inviscid Burgers equation, J. Math. Anal. Appl. 317 (2) (2006) 496-509. (Pubitemid 43308801)
    • (2006) Journal of Mathematical Analysis and Applications , vol.317 , Issue.2 , pp. 496-509
    • Sarrico, C.O.R.1
  • 29
    • 56649088130 scopus 로고    scopus 로고
    • Interactions of delta shock waves for the transport equations with split delta functions
    • C. Shen and M. Sun, Interactions of delta shock waves for the transport equations with split delta functions, J. Math. Anal. Appl. 351 (2) (2009) 747-755.
    • (2009) J. Math. Anal. Appl. , vol.351 , Issue.2 , pp. 747-755
    • Shen, C.1    Sun, M.2
  • 30
    • 79953674544 scopus 로고    scopus 로고
    • Central ADER schemes for hyperbolic conservation laws
    • Y. H. Zahran, Central ADER schemes for hyperbolic conservation laws, J. Math. Anal. Appl. 346 (1) (2008) 120-140.
    • (2008) J. Math. Anal. Appl. , vol.346 , Issue.1 , pp. 120-140
    • Zahran, Y.H.1
  • 31
    • 84889235948 scopus 로고    scopus 로고
    • Group classification of the general evolution equation: Local and quasilocal symmetries
    • R. Zhdanov and V. Lahno, Group classification of the general evolution equation: Local and quasilocal symmetries, SIGMA 1 (2005).
    • (2005) SIGMA , vol.1
    • Zhdanov, R.1    Lahno, V.2
  • 32
    • 62949193465 scopus 로고    scopus 로고
    • Group classification of the general second-order evolution equation: Semi-simple invariance groups
    • R. Zhdanov and V. Lahno, Group classification of the general second-order evolution equation: Semi-simple invariance groups, J. Phys. A: Math. Theor. 40 (19) (2007) 5083-5103.
    • (2007) J. Phys. A: Math. Theor. , vol.40 , Issue.19 , pp. 5083-5103
    • Zhdanov, R.1    Lahno, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.