메뉴 건너뛰기




Volumn 195, Issue 2, 2008, Pages 754-761

Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations

Author keywords

Burgers equation; Burgers Fisher equation; Burgers Huxley equation; Fisher's equation; Huxley equation; tanh coth method

Indexed keywords

BURGERS VECTOR; COMPUTATION THEORY; FISHER INFORMATION MATRIX; TIME VARYING SYSTEMS;

EID: 37349105607     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.05.020     Document Type: Article
Times cited : (78)

References (14)
  • 2
    • 27144521624 scopus 로고    scopus 로고
    • Wave interactions and the analysis of the perturbed Burgers equation
    • Veksler A., and Zarmi Y. Wave interactions and the analysis of the perturbed Burgers equation. Physica D 211 (2005) 57-73
    • (2005) Physica D , vol.211 , pp. 57-73
    • Veksler, A.1    Zarmi, Y.2
  • 3
    • 33747881123 scopus 로고    scopus 로고
    • Freedom in the expansion and obstacles to integrability in multiple-soliton solutions of the perturbed KdV equation
    • Veksler A., and Zarmi Y. Freedom in the expansion and obstacles to integrability in multiple-soliton solutions of the perturbed KdV equation. Physica D 217 (2006) 77-87
    • (2006) Physica D , vol.217 , pp. 77-87
    • Veksler, A.1    Zarmi, Y.2
  • 4
    • 0010224969 scopus 로고
    • Exact and explicit solitary wave solutions for the generalized Fisher equation
    • Wang X.Y. Exact and explicit solitary wave solutions for the generalized Fisher equation. Phys. Lett. A 131 4/5 (1988) 277-289
    • (1988) Phys. Lett. A , vol.131 , Issue.4-5 , pp. 277-289
    • Wang, X.Y.1
  • 5
    • 27144479426 scopus 로고    scopus 로고
    • Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations
    • Wazwaz A.M. Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations. Appl. Math. Comput. 169 (2005) 639-656
    • (2005) Appl. Math. Comput. , vol.169 , pp. 639-656
    • Wazwaz, A.M.1
  • 6
    • 3042836089 scopus 로고    scopus 로고
    • An analytic study of Fisher's equation by using adomian decomposition method
    • Wazwaz A.M., and Georguis A. An analytic study of Fisher's equation by using adomian decomposition method. Appl. Math. Comput. 154 (2004) 609-620
    • (2004) Appl. Math. Comput. , vol.154 , pp. 609-620
    • Wazwaz, A.M.1    Georguis, A.2
  • 7
    • 0035517241 scopus 로고    scopus 로고
    • Introduction to solitons
    • Wadati M. Introduction to solitons. Pramana: J. Phys. 57 5/6 (2001) 841-847
    • (2001) Pramana: J. Phys. , vol.57 , Issue.5-6 , pp. 841-847
    • Wadati, M.1
  • 8
    • 0001229736 scopus 로고
    • Solitary wave solutions of nonlinear wave equations
    • Malfliet W. Solitary wave solutions of nonlinear wave equations. Am. J. Phys. 60 7 (1992) 650-654
    • (1992) Am. J. Phys. , vol.60 , Issue.7 , pp. 650-654
    • Malfliet, W.1
  • 9
    • 0004483962 scopus 로고    scopus 로고
    • The tanh method: I. Exact solutions of nonlinear evolution and wave equations
    • Malfliet W., and Hereman W. The tanh method: I. Exact solutions of nonlinear evolution and wave equations. Phys. Scripta 54 (1996) 563-568
    • (1996) Phys. Scripta , vol.54 , pp. 563-568
    • Malfliet, W.1    Hereman, W.2
  • 10
    • 0000068096 scopus 로고    scopus 로고
    • The tanh method: II. Perturbation technique for conservative systems
    • Malfliet W., and Hereman W. The tanh method: II. Perturbation technique for conservative systems. Phys. Scripta 54 (1996) 569-575
    • (1996) Phys. Scripta , vol.54 , pp. 569-575
    • Malfliet, W.1    Hereman, W.2
  • 11
    • 33846641360 scopus 로고    scopus 로고
    • The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
    • Wazwaz A.M. The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations. Appl. Math. Comput. 184 2 (2007) 1002-1014
    • (2007) Appl. Math. Comput. , vol.184 , Issue.2 , pp. 1002-1014
    • Wazwaz, A.M.1
  • 13
    • 33847770872 scopus 로고    scopus 로고
    • New kinds of solitons and periodic solutions to the generalized KdV equation
    • Wazwaz A.M. New kinds of solitons and periodic solutions to the generalized KdV equation. Numer. Methods Partial Differen. Equat. 23 2 (2006) 247-255
    • (2006) Numer. Methods Partial Differen. Equat. , vol.23 , Issue.2 , pp. 247-255
    • Wazwaz, A.M.1
  • 14
    • 27144553113 scopus 로고    scopus 로고
    • The tanh method for generalized forms of nonlinear heat conduction and Burgers-Fisher equation
    • Wazwaz A.M. The tanh method for generalized forms of nonlinear heat conduction and Burgers-Fisher equation. Appl. Math. Comput. 169 (2005) 321-338
    • (2005) Appl. Math. Comput. , vol.169 , pp. 321-338
    • Wazwaz, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.