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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제33권 제3호
- 발행연도
- 2015.1
- 수록면
- 261 - 273 (13page)
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We consider the hyperelastic rod equation describing nonlinear dispersive waves in compressible hyperelastic rods. We investigate the existence of certain traveling wave solutions to this equation. We also determine whether two other equations(the b-family equation and the modified Camassa-Holm equation) have our solution type.
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참고문헌 (15)
참고문헌 신청
B. T. Benjamin. / 1972 / Model equations for long waves in nonlinear dispersive systems / Philos. Trans. Roy. Soc. London Ser., A 272:47~78
Lazhar Bougoffa / 2013 / Series solutions to initial-Neumann boundary value problems for parabolic and hyperbolic equations / Journal of Applied Mathematics and Informatics 31(1):87~97
R. Camassa. / 1993 / An integrable shallow water equation with peaked solitons / Phys. Rev. Lett 71:1661~1664
C. Cao. / 2004 / Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models / J. Dynam. Differential Equations 16:167~178
A. Constantin. / 2000 / Stability of peakons / Comm. Pure Appl. Math 53:603~610
Lazhar Bougoffa / 2013 / Series solutions to initial-Neumann boundary value problems for parabolic and hyperbolic equations / Journal of Applied Mathematics and Informatics 31(1):87~97
R. Camassa. / 1993 / An integrable shallow water equation with peaked solitons / Phys. Rev. Lett 71:1661~1664
C. Cao. / 2004 / Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models / J. Dynam. Differential Equations 16:167~178
A. Constantin. / 2000 / Stability of peakons / Comm. Pure Appl. Math 53:603~610
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