메뉴 건너뛰기




Volumn 161, Issue 2, 2005, Pages 561-575

Compactons, solitons and periodic solutions for variants of the KdV and the KP equations

Author keywords

Compactons; KdV equation; KP equation; Periodic solutions; Sine cosine method; Solitons

Indexed keywords

ALGORITHMS; MATHEMATICAL MODELS; MATHEMATICAL TECHNIQUES; NUMERICAL ANALYSIS; WAVE EQUATIONS;

EID: 10044261205     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.12.049     Document Type: Article
Times cited : (19)

References (34)
  • 1
    • 0001078296 scopus 로고    scopus 로고
    • The derivation of a modified Zakharov-Kuznetsone equation and the stability of its solutions
    • S. Monro, E.J. Parkes, The derivation of a modified Zakharov-Kuznetsone equation and the stability of its solutions, J. Plasma Phys. 62 (3) (1999) 305-317.
    • (1999) J. Plasma Phys. , vol.62 , Issue.3 , pp. 305-317
    • Monro, S.1    Parkes, E.J.2
  • 2
    • 0035517241 scopus 로고    scopus 로고
    • Introduction to solitons
    • M. Wadati, 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
  • 3
    • 0347821899 scopus 로고
    • The exact solution of the modified Kortweg-de Vries equation
    • M. Wadati, The exact solution of the modified Kortweg-de Vries equation, J. Phys. Soc. Jpn. 32 (1972) 1681-1687.
    • (1972) J. Phys. Soc. Jpn. , vol.32 , pp. 1681-1687
    • Wadati, M.1
  • 4
    • 0007690397 scopus 로고
    • The modified Kortweg-de Vries equation
    • M. Wadati, The modified Kortweg-de Vries equation, J. Phys. Soc. Jpn. 34 (1973) 1289-1296.
    • (1973) J. Phys. Soc. Jpn. , vol.34 , pp. 1289-1296
    • Wadati, M.1
  • 5
    • 12044253199 scopus 로고
    • Compactons: Solitons with finite wavelengths
    • P. Rosenau, J.M. Hyman, Compactons: Solitons with finite wavelengths, Phys. Rev. Lett. 70 (5) (1993) 564-567.
    • (1993) Phys. Rev. Lett. , vol.70 , Issue.5 , pp. 564-567
    • Rosenau, P.1    Hyman, J.M.2
  • 6
    • 0035420846 scopus 로고    scopus 로고
    • Compacton solution in a class of generalized fifth-order Korteweg-de Vries equations
    • F. Cooper, J. Hyman, A. Khare, Compacton solution in a class of generalized fifth-order Korteweg-de Vries equations, Phys. Rev. E 64 (2001) 1-5.
    • (2001) Phys. Rev. E , vol.64 , pp. 1-5
    • Cooper, F.1    Hyman, J.2    Khare, A.3
  • 7
    • 12044249264 scopus 로고
    • Nonlinear dispersion and compact structures
    • P. Rosenau, Nonlinear dispersion and compact structures, Phys. Rev. Lett. 73 (13) (1994) 1737-1741.
    • (1994) Phys. Rev. Lett. , vol.73 , Issue.13 , pp. 1737-1741
    • Rosenau, P.1
  • 8
    • 0041439271 scopus 로고    scopus 로고
    • On nonanalytic solitary waves formed by a nonlinear dispersion
    • P. Rosenau, On nonanalytic solitary waves formed by a nonlinear dispersion, Phys. Lett. A 230 (5-6) (1997) 305-318.
    • (1997) Phys. Lett. A , vol.230 , Issue.5-6 , pp. 305-318
    • Rosenau, P.1
  • 9
    • 0034626343 scopus 로고    scopus 로고
    • Compact and noncompact dispersive structures
    • P. Rosenau, Compact and noncompact dispersive structures, Phys. Lett. A 275 (3) (2000) 193-203.
    • (2000) Phys. Lett. A , vol.275 , Issue.3 , pp. 193-203
    • Rosenau, P.1
  • 10
    • 0000582346 scopus 로고    scopus 로고
    • Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support
    • P.J. Olver, P. Rosenau, Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support, Phys. Rev. E 53 (2) (1996) 1900-1906.
    • (1996) Phys. Rev. E , vol.53 , Issue.2 , pp. 1900-1906
    • Olver, P.J.1    Rosenau, P.2
  • 11
    • 0000563313 scopus 로고    scopus 로고
    • A numerical study of compactons
    • M.S. Ismail, T. Taha, A numerical study of compactons, Math. Comput. Simul. 47 (1998) 519-530.
    • (1998) Math. Comput. Simul. , vol.47 , pp. 519-530
    • Ismail, M.S.1    Taha, T.2
  • 13
    • 4243559322 scopus 로고    scopus 로고
    • Breather compactons in nonlinear Klein-Gordon systems
    • P.T. Dinda, M. Remoissenet, Breather compactons in nonlinear Klein-Gordon systems, Phys. Rev. E 60 (3) (1999) 6218-6221.
    • (1999) Phys. Rev. E , vol.60 , Issue.3 , pp. 6218-6221
    • Dinda, P.T.1    Remoissenet, M.2
  • 14
    • 85035243765 scopus 로고    scopus 로고
    • From kinks to compactonlike kinks
    • S. Dusuel, P. Michaux, M. Remoissenet, From kinks to compactonlike kinks, Phys. Rev. E 57 (2) (1998) 2320-2326.
    • (1998) Phys. Rev. E , vol.57 , Issue.2 , pp. 2320-2326
    • Dusuel, S.1    Michaux, P.2    Remoissenet, M.3
  • 15
    • 11544340141 scopus 로고    scopus 로고
    • Patterns on liquid surfaces: Cnoidal waves, compactons and scaling
    • A. Ludu, J.P. Draayer, Patterns on liquid surfaces: cnoidal waves, compactons and scaling, Physica D 123 (1998) 82-91.
    • (1998) Physica D , vol.123 , pp. 82-91
    • Ludu, A.1    Draayer, J.P.2
  • 17
    • 0036462771 scopus 로고    scopus 로고
    • New solitary-wave special solutions with compact support for the nonlinear dispersive K(m,n) equations
    • A.M. Wazwaz, New solitary-wave special solutions with compact support for the nonlinear dispersive K(m,n) equations, Chaos, Solitons and Fractals 13 (2) (2002) 321-330.
    • (2002) Chaos, Solitons and Fractals , vol.13 , Issue.2 , pp. 321-330
    • Wazwaz, A.M.1
  • 18
    • 0036028182 scopus 로고    scopus 로고
    • Exact specific solutions with solitary patterns for the nonlinear dispersive K(m,n) equations
    • A.M. Wazwaz, Exact specific solutions with solitary patterns for the nonlinear dispersive K(m,n) equations, Chaos, Solitons and Fractals 13 (1) (2001) 161-170.
    • (2001) Chaos, Solitons and Fractals , vol.13 , Issue.1 , pp. 161-170
    • Wazwaz, A.M.1
  • 19
    • 0037114102 scopus 로고    scopus 로고
    • General compactons solutions for the focusing branch of the nonlinear dispersive K(n,n) equations in higher dimensional spaces
    • A.M. Wazwaz, General compactons solutions for the focusing branch of the nonlinear dispersive K(n,n) equations in higher dimensional spaces, Appl. Math. Comput. 133 (2-3) (2002) 213-227.
    • (2002) Appl. Math. Comput. , vol.133 , Issue.2-3 , pp. 213-227
    • Wazwaz, A.M.1
  • 20
    • 0037114104 scopus 로고    scopus 로고
    • General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive K(n, n) equations in higher dimensional spaces
    • A.M. Wazwaz, General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive K(n, n) equations in higher dimensional spaces, Appl. Math. Comput. 133 (2-3) (2002) 229-244.
    • (2002) Appl. Math. Comput. , vol.133 , Issue.2-3 , pp. 229-244
    • Wazwaz, A.M.1
  • 21
    • 0034920818 scopus 로고    scopus 로고
    • A study of nonlinear dispersive equations with solitary-wave solutions having compact support
    • A.M. Wazwaz, A study of nonlinear dispersive equations with solitary-wave solutions having compact support, Math. Comput. Simul. 56 (2001) 269-276.
    • (2001) Math. Comput. Simul. , vol.56 , pp. 269-276
    • Wazwaz, A.M.1
  • 22
    • 0036526003 scopus 로고    scopus 로고
    • Compactons dispersive structures for variants of the K(n,n) and the KP equations
    • A.M. Wazwaz, Compactons dispersive structures for variants of the K(n,n) and the KP equations, Chaos, Solitons and Fractals 13 (5) (2002) 1053-1062.
    • (2002) Chaos, Solitons and Fractals , vol.13 , Issue.5 , pp. 1053-1062
    • Wazwaz, A.M.1
  • 23
    • 0037410919 scopus 로고    scopus 로고
    • Compactons and solitary patterns structures for variants of the KdV and the KP equations
    • A.M. Wazwaz, Compactons and solitary patterns structures for variants of the KdV and the KP equations, Appl. Math. Comput. 139 (1) (2003) 37-54.
    • (2003) Appl. Math. Comput. , vol.139 , Issue.1 , pp. 37-54
    • Wazwaz, A.M.1
  • 24
    • 0035372279 scopus 로고    scopus 로고
    • Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method
    • A.M. Wazwaz, Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method, Chaos, Solitons and Fractals 12 (8) (2001) 1549-1556.
    • (2001) Chaos, Solitons and Fractals , vol.12 , Issue.8 , pp. 1549-1556
    • Wazwaz, A.M.1
  • 25
    • 0035949881 scopus 로고    scopus 로고
    • A computational approach to soliton solutions of the Kadomtsev- Petviashili equation
    • A.M. Wazwaz, A computational approach to soliton solutions of the Kadomtsev-Petviashili equation, Appl. Math. Comput. 123 (2) (2001) 205-217.
    • (2001) Appl. Math. Comput. , vol.123 , Issue.2 , pp. 205-217
    • Wazwaz, A.M.1
  • 26
    • 0037451839 scopus 로고    scopus 로고
    • An analytic study of compactons structures in a class of nonlinear dispersive equations
    • A.M. Wazwaz, An analytic study of compactons structures in a class of nonlinear dispersive equations, Math. Comput. Simul. 63 (1) (2003) 35-44.
    • (2003) Math. Comput. Simul. , vol.63 , Issue.1 , pp. 35-44
    • Wazwaz, A.M.1
  • 27
    • 0037434531 scopus 로고    scopus 로고
    • Compact and noncompact structures in a class of nonlinearly dispersive equations
    • A.M. Wazwaz, T. Taha, Compact and noncompact structures in a class of nonlinearly dispersive equations, Math. Comput. Simul. 62 (1-2) (2003) 171-189.
    • (2003) Math. Comput. Simul. , vol.62 , Issue.1-2 , pp. 171-189
    • Wazwaz, A.M.1    Taha, T.2
  • 28
    • 0041629375 scopus 로고    scopus 로고
    • Existence and construction of compacton solutions
    • A.M. Wazwaz, Existence and construction of compacton solutions, Chaos, Solitons and Fractals 19 (3) (2004) 463-470.
    • (2004) Chaos, Solitons and Fractals , vol.19 , Issue.3 , pp. 463-470
    • Wazwaz, A.M.1
  • 29
    • 0037429584 scopus 로고    scopus 로고
    • A study on nonlinear dispersive partial differential equations of compact and noncompact solutions
    • A.M. Wazwaz, A study on nonlinear dispersive partial differential equations of compact and noncompact solutions, Appl. Math. Comput. 135 (2-3) (2003) 399-409.
    • (2003) Appl. Math. Comput. , vol.135 , Issue.2-3 , pp. 399-409
    • Wazwaz, A.M.1
  • 30
    • 0037429574 scopus 로고    scopus 로고
    • A construction of compact and noncompact solutions of nonlinear dispersive equations of even order
    • A.M. Wazwaz, A construction of compact and noncompact solutions of nonlinear dispersive equations of even order, Appl. Math. Comput. 135 (2-3) (2003) 324-411.
    • (2003) Appl. Math. Comput. , vol.135 , Issue.2-3 , pp. 324-411
    • Wazwaz, A.M.1
  • 31
    • 0037370153 scopus 로고    scopus 로고
    • Compactons in a class of nonlinear dispersive equations
    • A.M. Wazwaz, Compactons in a class of nonlinear dispersive equations, Math. Comput. Modell. 37 (3-4) (2003) 333-341.
    • (2003) Math. Comput. Modell. , vol.37 , Issue.3-4 , pp. 333-341
    • Wazwaz, A.M.1
  • 34
    • 0041185368 scopus 로고    scopus 로고
    • A review of the decomposition method in applied mathematics
    • G. Adomian, A review of the decomposition method in applied mathematics, J. Math. Anal. Appl. 135 (1998) 501-544.
    • (1998) J. Math. Anal. Appl. , vol.135 , pp. 501-544
    • Adomian, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.