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Volumn 97, Issue 4, 1996, Pages 349-367

Exact N-wave solutions of generalized burgers equations

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTICS; GENERALIZED BURGERS EQUATION; N-WAVES; NON NEGATIVES; OLD AGE; POSITIVE INTEGERS; TIME REGIME; VISCOUS EFFECT; WAVE SOLUTION;

EID: 0039331560     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1002/sapm1996974349     Document Type: Article
Times cited : (8)

References (16)
  • 1
    • 0002778351 scopus 로고
    • Viscosity effects in sound waves of finite amplitude
    • (G. K. Batchlor and R. M. Davis, Eds.) Cambridge University Press
    • M. J. LIGHTHILL, Viscosity effects in sound waves of finite amplitude. In Surveys in Mechanics, (G. K. Batchlor and R. M. Davis, Eds.) pp. 250-351, Cambridge University Press, 1956.
    • (1956) Surveys in Mechanics , pp. 250-351
    • Lighthill, M.J.1
  • 2
    • 0018680110 scopus 로고
    • Model equations of nonlinear acoustics
    • D. G. CRIGHTON, Model equations of nonlinear acoustics, Ann. Rev. Fluid Mech. 11:11-23 (1979).
    • (1979) Ann. Rev. Fluid Mech. , vol.11 , pp. 11-23
    • Crighton, D.G.1
  • 5
    • 0007269572 scopus 로고
    • Nonlinear wave motion governed by the modified Burgers equation
    • I. P. LEE-BAPTY and D. G. CRIGHTON, Nonlinear wave motion governed by the modified Burgers equation, Phil. Tran. Roy. Soc. London A 323:173-209 (1987).
    • (1987) Phil. Tran. Roy. Soc. London A , vol.323 , pp. 173-209
    • Lee-Bapty, I.P.1    Crighton, D.G.2
  • 6
    • 0040970201 scopus 로고
    • A generalised Cole-Hopf transformation for nonlinear parabolic and hyperbolic equations
    • P. L. SACHDEV, A generalised Cole-Hopf transformation for nonlinear parabolic and hyperbolic equations, ZAMP 29:963-970 (1978).
    • (1978) ZAMP , vol.29 , pp. 963-970
    • Sachdev, P.L.1
  • 7
    • 0039191362 scopus 로고
    • Bäcklund transformations for nonlinear parabolic equations: The general results
    • J. J. C. NIMMO and D. G. CRIGHTON, Bäcklund transformations for nonlinear parabolic equations: The general results, Proc. Roy. Soc. London A 384:381-401 (1982).
    • (1982) Proc. Roy. Soc. London A , vol.384 , pp. 381-401
    • Nimmo, J.J.C.1    Crighton, D.G.2
  • 8
    • 0005247131 scopus 로고
    • Generalised Burgers equations and Euler-Painlevé transcendents-I
    • P. L. SACHDEV, K. R. C. NAIR, and V. G. TIKEKAR, Generalised Burgers equations and Euler-Painlevé transcendents-I, J. Math. Phys. 21:1506-1522 (1986).
    • (1986) J. Math. Phys. , vol.21 , pp. 1506-1522
    • Sachdev, P.L.1    Nair, K.R.C.2    Tikekar, V.G.3
  • 9
    • 0005325784 scopus 로고
    • Generalised Burgers equations and Euler-Painlevé transcendents-II
    • P. L. SACHDEV AND K. R. C. NAIR, Generalised Burgers equations and Euler-Painlevé transcendents-II, J. Math. Phys. 28:997-1001 (1987).
    • (1987) J. Math. Phys. , vol.28 , pp. 997-1001
    • Sachdev, P.L.1    Nair, K.R.C.2
  • 10
    • 0000215011 scopus 로고
    • Generalised Burgers equations and Euler-Painlevé transcendents-III
    • P. L. SACHDEV, K. R. C. NAIR, and V. G. TIKEKAR, Generalised Burgers equations and Euler-Painlevé transcendents-III, J. Math. Phys. 29:2397-2404 (1988).
    • (1988) J. Math. Phys. , vol.29 , pp. 2397-2404
    • Sachdev, P.L.1    Nair, K.R.C.2    Tikekar, V.G.3
  • 11
    • 0022806367 scopus 로고
    • Evolution and decay of spherical and cylindrical N-waves
    • P. L. SACHDEV, V. G. TIKEKAR, and K. R. C. NAIR, Evolution and decay of spherical and cylindrical N-waves, J. Fluid Mech. 172:347-371 (1986).
    • (1986) J. Fluid Mech. , vol.172 , pp. 347-371
    • Sachdev, P.L.1    Tikekar, V.G.2    Nair, K.R.C.3
  • 12
    • 0005269629 scopus 로고
    • Exact N-wave solutions for non-planar Burgers equations
    • P. L. SACHDEV, K. T. JOSEPH, and K. R. C. NAIR, Exact N-wave solutions for non-planar Burgers equations, Proc. Roy. Soc. London A 445:501-517 (1994).
    • (1994) Proc. Roy. Soc. London A , vol.445 , pp. 501-517
    • Sachdev, P.L.1    Joseph, K.T.2    Nair, K.R.C.3
  • 13
    • 0040375928 scopus 로고
    • Exact representations of N-wave solutions of generalised Burgers equations
    • (P. L. Sachdev and R. E. Grundy, Eds.) Narosa Publishing House, New Delhi
    • P. L. SACHDEV and K. T. JOSEPH, Exact representations of N-wave solutions of generalised Burgers equations, in Nonlinear Diffusion Phenomenon, (P. L. Sachdev and R. E. Grundy, Eds.) pp. 197-219. Narosa Publishing House, New Delhi, 1994.
    • (1994) Nonlinear Diffusion Phenomenon , pp. 197-219
    • Sachdev, P.L.1    Joseph, K.T.2
  • 14
    • 0000963116 scopus 로고
    • Asymptotic solutions of model equations of nonlinear acoustics
    • D. G. CRIGHTON and J. F. SCOTT, Asymptotic solutions of model equations of nonlinear acoustics, Phil. Tran. Roy. Soc. 292:101-134 (1979).
    • (1979) Phil. Tran. Roy. Soc. , vol.292 , pp. 101-134
    • Crighton, D.G.1    Scott, J.F.2
  • 15
    • 0037500205 scopus 로고
    • Geometrical and diffusive effects in nonlinear acoustic propagation over long ranges
    • J. J. C. NIMMO and D. G. CRIGHTON, Geometrical and diffusive effects in nonlinear acoustic propagation over long ranges, Phil. Tran. Roy. Soc. Lond. A 320:1-35 (1986).
    • (1986) Phil. Tran. Roy. Soc. Lond. A , vol.320 , pp. 1-35
    • Nimmo, J.J.C.1    Crighton, D.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.