메뉴 건너뛰기




Volumn 184, Issue 2, 2007, Pages 1002-1014

The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations

Author keywords

Fifth order KdV equation; Ito equation; KK equation; KKPD equation; SK equation; SKPD equation; Solitons; The extended tanh method

Indexed keywords

COMPUTATION THEORY; MATHEMATICAL TECHNIQUES; NONLINEAR EQUATIONS; PARAMETER ESTIMATION; PROBLEM SOLVING;

EID: 33846641360     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.07.002     Document Type: Article
Times cited : (292)

References (24)
  • 1
    • 33750813325 scopus 로고    scopus 로고
    • A.M. Wazwaz, Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.02.047.
  • 2
    • 0031281728 scopus 로고    scopus 로고
    • Symbolic computation of conserved densities for systems of nonlinear evolution equations
    • Goktas U., and Hereman W. Symbolic computation of conserved densities for systems of nonlinear evolution equations. J. Symbol. Comput. 24 (1997) 591-621
    • (1997) J. Symbol. Comput. , vol.24 , pp. 591-621
    • Goktas, U.1    Hereman, W.2
  • 3
    • 2642531751 scopus 로고    scopus 로고
    • Symbolic computation of exact solutions in hyperbolic and elliptic functions for nonlinear PDEs
    • Baldwin D., Goktas U., Hereman W., Hong L., Martino R.S., and Miller J.C. Symbolic computation of exact solutions in hyperbolic and elliptic functions for nonlinear PDEs. J. Symbol. Comput. 37 (2004) 669-705
    • (2004) J. Symbol. Comput. , vol.37 , pp. 669-705
    • Baldwin, D.1    Goktas, U.2    Hereman, W.3    Hong, L.4    Martino, R.S.5    Miller, J.C.6
  • 4
    • 0030829213 scopus 로고    scopus 로고
    • Symbolic methods to construct exact solutions of nonlinear partial differential equations
    • Hereman W., and Nuseir A. Symbolic methods to construct exact solutions of nonlinear partial differential equations. Math. Comput. Simul. 43 (1997) 13-27
    • (1997) Math. Comput. Simul. , vol.43 , pp. 13-27
    • Hereman, W.1    Nuseir, A.2
  • 5
    • 0000531288 scopus 로고
    • An extension of nonlinear evolution equations of the KdV (mKdV) type to higher orders
    • Ito M. An extension of nonlinear evolution equations of the KdV (mKdV) type to higher orders. J. Phys. Soc. Jpn. 49 (1980) 771-778
    • (1980) J. Phys. Soc. Jpn. , vol.49 , pp. 771-778
    • Ito, M.1
  • 6
    • 0002408905 scopus 로고
    • x + 6Rψ = λψ
    • x + 6Rψ = λψ. Stud. Appl. Math. 62 (1980) 189-216
    • (1980) Stud. Appl. Math. , vol.62 , pp. 189-216
    • Kaup, D.1
  • 7
    • 0001695541 scopus 로고
    • A super KdV equation: an integrable system
    • Kupershmidt B.A. A super KdV equation: an integrable system. Phys. Lett. A 102 (1984) 213-215
    • (1984) Phys. Lett. A , vol.102 , pp. 213-215
    • Kupershmidt, B.A.1
  • 8
    • 84981754671 scopus 로고
    • Integrals of nonlinear equations of evolution and solitary waves
    • Lax P.D. Integrals of nonlinear equations of evolution and solitary waves. Commun. Pure Appl. Math. 62 (1968) 467-490
    • (1968) Commun. Pure Appl. Math. , vol.62 , pp. 467-490
    • Lax, P.D.1
  • 9
    • 0001395372 scopus 로고
    • A method for finding N-soliton solutions for the KdV equation and KdV-like equation
    • Sawada K., and Kotera T. A method for finding N-soliton solutions for the KdV equation and KdV-like equation. Prog. Theor. Phys. 51 (1974) 1355-1367
    • (1974) Prog. Theor. Phys. , vol.51 , pp. 1355-1367
    • Sawada, K.1    Kotera, T.2
  • 10
    • 33750823850 scopus 로고    scopus 로고
    • Boussinesq-type equations and switching solitons
    • Parker A., and Dye J.M. Boussinesq-type equations and switching solitons. Proc. Inst. NAS Ukraine 43 1 (2002) 344-351
    • (2002) Proc. Inst. NAS Ukraine , vol.43 , Issue.1 , pp. 344-351
    • Parker, A.1    Dye, J.M.2
  • 13
    • 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
  • 14
    • 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. Scr. 54 (1996) 563-568
    • (1996) Phys. Scr. , vol.54 , pp. 563-568
    • Malfliet, W.1    Hereman, W.2
  • 15
    • 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. Scr. 54 (1996) 569-575
    • (1996) Phys. Scr. , vol.54 , pp. 569-575
    • Malfliet, W.1    Hereman, W.2
  • 16
    • 33751530880 scopus 로고    scopus 로고
    • A.M.Wazwaz, New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.06.002.
  • 17
    • 3042750187 scopus 로고    scopus 로고
    • The tanh method for travelling wave solutions of nonlinear equations
    • Wazwaz A.M. The tanh method for travelling wave solutions of nonlinear equations. Appl. Math. Comput. 154 3 (2004) 713-723
    • (2004) Appl. Math. Comput. , vol.154 , Issue.3 , pp. 713-723
    • Wazwaz, A.M.1
  • 19
    • 17944379186 scopus 로고    scopus 로고
    • The tanh method: exact solutions of the Sine-Gordon and the Sinh-Gordon equations
    • Wazwaz A.M. The tanh method: exact solutions of the Sine-Gordon and the Sinh-Gordon equations. Appl. Math. Comput. 49 (2005) 565-574
    • (2005) Appl. Math. Comput. , vol.49 , pp. 565-574
    • Wazwaz, A.M.1
  • 20
    • 17644381219 scopus 로고    scopus 로고
    • Variants of the two-dimensional Boussinesq equations with compactons, solitons and periodic solutions
    • Wazwaz A.M. Variants of the two-dimensional Boussinesq equations with compactons, solitons and periodic solutions. Comput. Math. Appl. 49 (2005) 295-301
    • (2005) Comput. Math. Appl. , vol.49 , pp. 295-301
    • Wazwaz, A.M.1
  • 21
    • 20844437798 scopus 로고    scopus 로고
    • The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
    • Wazwaz A.M. The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants. Commun. Nonlinear Sci. Numer. Simul. 112 (2006) 148-160
    • (2006) Commun. Nonlinear Sci. Numer. Simul. , vol.112 , pp. 148-160
    • Wazwaz, A.M.1
  • 22
    • 1842476790 scopus 로고    scopus 로고
    • New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations
    • Wazwaz A.M. New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations. Chaos, Solitons Compactons 22 1 (2004) 249-260
    • (2004) Chaos, Solitons Compactons , vol.22 , Issue.1 , pp. 249-260
    • Wazwaz, A.M.1
  • 23
    • 18844373205 scopus 로고    scopus 로고
    • Special types of the nonlinear dispersive Zakharov-Kuznetsov equation with compactons, solitons and periodic solutions
    • Wazwaz A.M. Special types of the nonlinear dispersive Zakharov-Kuznetsov equation with compactons, solitons and periodic solutions. Int. J. Comput. Math. 81 9 (2004) 1107-1119
    • (2004) Int. J. Comput. Math. , vol.81 , Issue.9 , pp. 1107-1119
    • Wazwaz, A.M.1
  • 24
    • 17644367140 scopus 로고    scopus 로고
    • A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions
    • Wazwaz A.M. A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions. Appl. Math. Comput. 165 (2005) 485-501
    • (2005) Appl. Math. Comput. , vol.165 , pp. 485-501
    • Wazwaz, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.