Single peak solitary wave solutions for the Fornberg–Whitham equation

References

• Lenells , J . 2004 . Traveling wave solutions of the Camassa–Holm and Korteweg–de Vries equations . J. Nonlinear Math. Phys. , 11 : 508 – 520 .
   Web of Science ®Google Scholar
• Camassa , R and Holm , D . 1993 . An integrable shallow wave equation with peaked solitons . Phys. Rev. Lett. , 71 : 1661 – 1664 .
   PubMed Web of Science ®Google Scholar
• Lenells , J . 2005 . Traveling wave solutions of the Camassa–Holm equation . J. Differ. Eqns. , 217 : 393 – 430 .
   Web of Science ®Google Scholar
• Liu , Z and Chen , C . 2004 . Compactons in a general compressible hyperelastic rod . Chaos Soliton Fractals , 22 : 627 – 640 .
   Web of Science ®Google Scholar
• Parkes , EJ and Vakhnenko , VO . 2005 . Explicit solutions of the Camassa–Holm equation . Chaos Solitons Fractals , 26 : 1309 – 1316 .
   Web of Science ®Google Scholar
• Fornberg , B and Whitham , GB . 1978 . A numerical and theoretical study of certain nonlinear wave phenomena . Philos. Trans. R. Soc. Lond. Ser. A , 289 : 373 – 404 .
   Web of Science ®Google Scholar
• Zhou , J and Tian , L . 2008 . A type of bounded traveling wave solutions for the Fornberg–Whitham equation . J. Math. Anal. Appl. , 346 : 255 – 261 .
   Web of Science ®Google Scholar
• Zhou , J and Tian , L . 2010 . Soliton, peakons and periodic cusp wave solutions for the Fornberg–Whitham equation . Nonlinear Anal. Real World Appl. , 11 : 356 – 363 .
   Web of Science ®Google Scholar
• Zhou , J and Tian , L . 2009 . Periodic and solitary wave solutions to the Fornberg–Whitham equation . Math. Probl. Eng. , Article ID 507815, DOI: 10.1155/2009/507815
   Web of Science ®Google Scholar
• Feng , C and Wu , C . 2009 . The classification of single traveling wave solutions to Fornberg–Whitham equation . Int. J. Nonlinear Sci. , 7 : 353 – 359 .
   Google Scholar
• Chen , A , Li , J , Deng , X and Huang , W . 2009 . Travelling wave solutions of the Fornberg–Whitham equation . Appl. Math. Comput. , 215 : 3068 – 3075 .
   Web of Science ®Google Scholar
• Tian , L , Chen , Y , Jiang , X and Xia , L . 2009 . Low-regularity solutions of the periodic Fornberg–Whitham equation . J. Math. Phys. , 50 : 073507
   Web of Science ®Google Scholar
• Yin , JL , Tian , LX and Fan , XH . 2010 . Classification of travelling waves in the Fornberg–Whitham equation . J. Math. Anal. Appl. , 368 : 133 – 143 .
   Web of Science ®Google Scholar
• Qiao , Z and Zhang , G . 2006 . On peaked and smooth solitons for the Camassa–Holm equation . Europhys. Lett. , 73 : 657 – 663 .
   Google Scholar
• Zhang , G and Qiao , Z . 2007 . Cuspons and smooth solitons of the Degasperis–Procesi equation under inhomogeneous boundary condition . Math. Phys. Anal. Geom. , 10 : 205 – 225 .
   Web of Science ®Google Scholar
• Chen , A and Li , J . 2010 . Single peak solitary wave solutions for the osmosis K(2, 2) equation under inhomogeneous boundary condition . J. Math. Anal. Appl. , 369 : 758 – 766 .
   Web of Science ®Google Scholar
• Li , J and Liu , Z . 2000 . Smooth and non-smooth travelling waves in a nonlinearly dispersive equation . Appl. Math. Model. , 25 : 41 – 56 .
   Web of Science ®Google Scholar
• Li , J and Dai , HH . 2007 . On the Study of Singular Nonlinear Traveling Wave Equations: Dynamical System Approach , Beijing : Science Press . (English)
   Google Scholar
• Li , J and Chen , G . 2007 . On a class of singular nonlinear traveling wave equations . Int. J. Bifur. Chaos , 17 : 4049 – 4065 .
   Web of Science ®Google Scholar
• Li , J and Zhang , Y . 2009 . Exact loop solutions, cusp solutions, solitary wave solutions and periodic wave solutions for the special CH–DP equation . Nonlinear Anal. Real World Appl. , 10 : 2502 – 2507 .
   Web of Science ®Google Scholar
• Guo , B and Liu , Z . 2005 . Two new types of bounded waves of CH-γ equation . Sci. China, Ser. A , 48 : 1618 – 1630 .
   Google Scholar