%0 Book %T Solitons, nonlinear evolution equations and inverse scattering %A M. J. Ablowitz %A P. A. Clarkson %D 1991 %I London Mathematical Society Lecture Note Series, Cambridge University Press %C Cambridge %F Ablowitz1991 %0 Journal Article %T Travelling wave solutions of Drinfeld-Sokolov-Wilson %A M. Arshad %A A. R. Seadawy %A D.-C. Lu %A J. Wang %J Whitham-Broer- Kaup and (2+1)-dimensional Broer-Kaup-Kupershmit equations and their applications, Chin. J. Phys. %D 2017 %V %F Arshad2017 %0 Journal Article %T Analysis of the new technique to solution of fractional wave- and heat-like equation %A D. Baleanu %A B. Agheli %A R. Darzi %J Acta Phys. Polon. B %D 2017 %V 48 %F Baleanu2017 %0 Journal Article %T The first integral method for Wu-Zhang nonlinear system with time-dependent coefficients %A D. Baleanu %A B. Kilic %A M. Inc %J Proc. Rom. Acad. Ser. A Math. Phys. Tech. Sci. Inf. Sci. %D 2015 %V 16 %F Baleanu2015 %0 Book %T Introduction of soliton %A D. Y. Chen %D 2006 %I (Chinese), Science Press %C Beijing %F Chen2006 %0 Journal Article %T Families of rational solutions of the Kadomtsev-Petviashvili equation %A S.-H. Chen %A P. Grelu %A D. Mihalache %A F. Baronio %J Romanian Rep. Phys. %D 2016 %V 68 %F Chen2016 %0 Journal Article %T Multiple Riccati equations rational expansion method and complexiton solutions of the Whitham-Broer- Kaup equation %A Y. Chen %A Q. Wang %J Phys. Lett. A %D 2005 %V 347 %F Chen2005 %0 Journal Article %T A generalized method and general form solutions to the Whitham-Broer-Kaup equation %A Y. Chen %A Q. Wang %A B. Li %J Chaos Solitons Fractals %D 2004 %V 22 %F Chen2004 %0 Journal Article %T Elliptic equation rational expansion method and new exact travelling solutions for Whitham- Broer-Kaup equations %A Y. Chen %A Q. Wang %A B. Li %J Chaos Solitons Fractals %D 2005 %V 26 %F Chen2005 %0 Journal Article %T New soliton solutions to isospectral AKNS equations %A D. Y. Chen %A X. Y. Zhu %A J. B. Zhang %A Y. Y. Sun %A Y. Shi %J (Chinese) ; translated from Chinese Ann. Math. Ser. A, 33 (2012), 205–216, Chinese J. Contemp. Math. %D 2012 %V 33 %F Chen2012 %0 Journal Article %T Exact and numerical traveling wave solutions of Whitham-Broer-Kaup equations %A S. M. El-Sayed %A D. Kaya %J Appl. Math. Comput. %D 2005 %V 167 %F El-Sayed2005 %0 Journal Article %T Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems %A E.-G. Fan %J Phys. Lett. A %D 2002 %V 300 %F Fan2002 %0 Journal Article %T Method for solving the Korteweg-deVries equation %A C. S. Gardner %A J. M. Greene %A M. D. Kruskal %A R. M. Miura %J Phys. Rev. Lett. %D 1967 %V 19 %F Gardner1967 %0 Journal Article %T Exp-function method for nonlinear wave equations %A J.-H. He %A X.-H. Wu %J Chaos Solitons Fractals %D 2006 %V 30 %F He2006 %0 Journal Article %T Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons %A R. Hirota %J Phys. Rev. Lett. %D 1971 %V 27 %F Hirota1971 %0 Journal Article %T Exact solution of the modified Korteweg-de Vries equation for multiple collisions of solitons %A R. Hirota %J J. Phys. Soc. Japan %D 1972 %V 33 %F Hirota1972 %0 Journal Article %T Constructing solitary pattern solutions of the nonlinear dispersive Zakharov-Kuznetsov equation %A M. Inc %J Chaos Solitons Fractals %D 2009 %V 39 %F Inc2009 %0 Journal Article %T On new exact special solutions of the GNLS(m, n, p, q) equations %A M. Inç %J Modern Phys. Lett. B %D 2010 %V 24 %F Inç2010 %0 Journal Article %T Compact and noncompact structures of a three-dimensional 3DKP(m, n) equation with nonlinear dispersion %A M. Inç %J Appl. Math. Lett. %D 2013 %V 26 %F Inç2013 %0 Journal Article %T Some special structures for the generalized nonlinear Schrödinger equation with nonlinear dispersion %A M. Inç %J Waves Random Complex Media %D 2013 %V 23 %F Inç2013 %0 Journal Article %T Optical soliton solutions for generalized NLSE by using Jacobi elliptic functions %A M. Inç %A E. Ates %J Optoelectron. Adv. Mat. %D 2015 %V 9 %F Inç2015 %0 Journal Article %T Optical soliton solutions of the pulse propagation generalized equation in parabolic-law media with space-modulated coefficients %A M. Inç %A B. Kilic %A D. Baleanu %J Optik %D 2016 %V 127 %F Inç2016 %0 Journal Article %T A new method for approximate solutions of some nonlinear equations: residual power series method %A M. Inç %A Z. S. Korpinar %A M. M. Al Qurashi %A D. Baleanu %J Adv. Mech. Eng. %D 2016 %V 8 %F Inç2016 %0 Journal Article %T An extended method and its application to Whitham-Broer-Kaup equation and two-dimensional perturbed KdV equation %A X.-Y. Jiao %A H.-Q. Zhang %J Appl. Math. Comput. %D 2006 %V 172 %F Jiao2006 %0 Journal Article %T Exact traveling wave solutions of the Boussinesq-Burgers equation %A M. Khalfallah %J Math. Comput. Modelling %D 2009 %V 49 %F Khalfallah2009 %0 Journal Article %T A hybrid computational approach for Klein-Gordon equations on Cantor sets %A D. Kumar %A J. Singh %A D. Baleanu %J Nonlinear Dynam. %D 2017 %V 87 %F Kumar2017 %0 Journal Article %T Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model %A G.-D. Lin %A Y.-T. Gao %A L. Wang %A D.-X. Meng %A X. Yu %J Commun. Nonlinear Sci. Numer. Simul. %D 2011 %V 16 %F Lin2011 %0 Journal Article %T Parallel line rogue waves of the third-type Davey-Stewartson equation %A Y.-B. Liu %A A. S. Fokas %A D. Mihalache %A J.-S. He %J Romanian Rep. Phys. %D 2016 %V 68 %F Liu2016 %0 Journal Article %T Supersymmetric modified Korteweg-de Vries equation: bilinear approach %A Q. P. Liu %A X.-B. Hu %A M.-X. Zhang %J Nonlinearity %D 2005 %V 18 %F Liu2005 %0 Journal Article %T Exact solutions of Whitham-Broer-Kaup equations with variable coefficients %A Y. Liu %A X.-Q. Liu %J Acta Phys. Sin. %D 2014 %V 63 %F Liu2014 %0 Book %T Darboux transformations and solitons %A V. B. Matveev %A M. A. Salle %D 1991 %I Springer Series in Nonlinear Dynamics, Springer- Verlag %C Berlin %F Matveev1991 %0 Journal Article %T Hirota bilinear form for the super-KdV hierarchy %A I. N. McArthur %A C. M. Yung %J Modern Phys. Lett. A %D 1993 %V 8 %F McArthur1993 %0 Book %T Bäcklund transformation %A M. R. Miura %D 1978 %I Springer-Verlag %C Berlin %F Miura1978 %0 Journal Article %T Numerical solution of nonlinear Jaulent-Miodek and Whitham-Broer-Kaup equations %A A. Mohebbi %A Z. Asgari %A M. Dehghan %J Commun. Nonlinear Sci. Numer. Simul. %D 2012 %V 17 %F Mohebbi2012 %0 Journal Article %T Traveling wave solutions of Whitham-Broer-Kaup equations by homotopy perturbation method %A S. T. Mohyud-Din %A A. Yıldırım %A G. Demirli %J J. King Saud Univ. Sci. %D 2010 %V 22 %F Mohyud-Din2010 %0 Journal Article %T Application of the variational iteration method to the Whitham-Broer-Kaup equations %A M. Rafei %A H. Daniali %J Comput. Math. Appl. %D 2007 %V 54 %F Rafei2007 %0 Journal Article %T Novel soliton solutions of the nonlinear Schrödinger equation model %A V. N. Serkin %A A. Hasegawa %J Phys. Rev. Lett. %D 2000 %V 85 %F Serkin2000 %0 Journal Article %T Nonautonomous solitons in external potentials %A V. N. Serkin %A A. Hasegawa %A T. L. Belyaeva %J Phys. Rev. Lett. %D 2007 %V 98 %F Serkin2007 %0 Journal Article %T Nonautonomous matter-wave solitons near the Feshbach resonance %A V. N. Serkin %A A. Hasegawa %A T. L. Belyaeva %J Phys. Rev. A %D 2010 %V 81 %F Serkin2010 %0 Journal Article %T Bifurcation method and traveling wave solution to Whitham-Broer-Kaup equation %A J.-W. Shen %A W. Xu %A Y.-F. Jin %J Appl. Math. Comput. %D 2005 %V 171 %F Shen2005 %0 Journal Article %T Application of the bifurcation method to the Whitham-Broer-Kaup-like equations %A M. Song %A J. Cao %A X.-L. Guan %J Math. Comput. Modelling %D 2012 %V 52 %F Song2012 %0 Journal Article %T Soliton solutions of nonlinear diffusion-reaction-type equations with time-dependent coefficients accounting for long-range diffusion %A H. Triki %A H. Leblond %A D. Mihalache %J Nonlinear Dynam. %D 2016 %V 86 %F Triki2016 %0 Journal Article %T Soliton solutions of the cubic-quintic nonlinear Schrodinger equation with variable coefficients %A H. Triki %A A.-M. Wazwaz %J Romanian J. Phys. %D 2016 %V 61 %F Triki2016 %0 Journal Article %T Exact solutions for a compound KdV-Burgers equation %A M.-L. Wang %J Phys. Lett. A %D 1996 %V 213 %F Wang1996 %0 Journal Article %T The Hirota’s bilinear method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera Kadomtsev-Petviashvili equation %A A.-M. Wazwaz %J Appl. Math. Comput. %D 2008 %V 200 %F Wazwaz2008 %0 Journal Article %T The Painlevé property for partial differential equations %A J. Weiss %A M. Tabor %A G. Carnevale %J J. Math. Phys. %D 1983 %V 24 %F Weiss1983 %0 Journal Article %T A new integrable lattice hierarchy associated with a discrete \(3 \times 3\) matrix spectral problem: N-fold Darboux transformation and explicit solutions %A X.-Y. Wen %J Rep. Math. Phys. %D 2013 %V 71 %F Wen2013 %0 Journal Article %T Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations %A F.-D. Xie %A Z.-Y. Yan %A H.-Q. Zhang %J Phys. Lett. A %D 2001 %V 285 %F Xie2001 %0 Journal Article %T Exact travelling wave solutions of the Whitham-Broer-Kaup and Broer-Kaup-Kupershmidt equations %A G.-Q. Xu %A Z.-B. Li %J Chaos Solitons Fractals %D 2005 %V 24 %F Xu2005 %0 Journal Article %T Multi-optical rogue waves of the Maxwell-Bloch equations %A S.-W. Xu %A K. Porsezian %A J.-S. He %A Y. Cheng %J Romanian Rep. Phys. %D 2016 %V 68 %F Xu2016 %0 Journal Article %T Solitary wave and non-traveling wave solutions to two nonlinear evolution equations %A Z.-L. Yan %A X.-Q. Liu %J Commun. Theor. Phys. (Beijing) %D 2005 %V 44 %F Yan2005 %0 Journal Article %T New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water %A Z.-Y. Yan %A H.-Q. Zhang %J Phys. Lett. A %D 2001 %V 285 %F Yan2001 %0 Journal Article %T New explicit solutions of (1 + 1)-dimensional variable-coefficient Broer-Kaup system %A Z.-L. Yan %A J.-P. Zhou %J Commun. Theor. Phys. (Beijing) %D 2010 %V 54 %F Yan2010 %0 Book %T Local fractional integral transforms and their applications %A X.-J. Yang %A D. Baleanu %A H. M. Srivastava %D 2015 %I Elsevier/Academic Press %C Amsterdam %F Yang2015 %0 Journal Article %T Application of Exp-function method to a KdV equation with variable coefficients %A S. Zhang %J Phys. Lett. A %D 2007 %V 365 %F Zhang2007 %0 Journal Article %T Exact solutions of a KdV equation with variable coefficients via Exp-function method %A S. Zhang %J Nonlinear Dynam. %D 2008 %V 52 %F Zhang2008 %0 Journal Article %T New exact solutions to breaking soliton equations and Whitham-Broer-Kaup equations %A P. Zhang %J Appl. Math. Comput. %D 2010 %V 217 %F Zhang2010 %0 Journal Article %T Multi-soliton solutions of a variable-coefficient KdV hierarchy %A S. Zhang %A B. Cai %J Nonlinear Dynam. %D 2014 %V 78 %F Zhang2014 %0 Journal Article %T Painlevé integrability and new exact solutions of the (4 + 1)-dimensional Fokas equation %A S. Zhang %A M.-T. Chen %J Math. Probl. Eng. %D 2015 %V 2015 %F Zhang2015 %0 Journal Article %T Painlevé analysis for a forced Korteveg-de Vries equation arisen in fluid dynamics of internal solitary waves %A S. Zhang %A M.-T. Chen %A W.-Y. Qian %J Therm. Sci. %D 2015 %V 19 %F Zhang2015 %0 Journal Article %T Mixed spectral AKNS hierarchy from linear isospectral problem and its exact solutions %A S. Zhang %A X.-D. Gao %J Open Phys. %D 2015 %V 13 %F Zhang2015 %0 Journal Article %T Exact N-soliton solutions and dynamics of a new AKNS equation with time-dependent coefficients %A S. Zhang %A X.-D. Gao %J Nonlinear Dynam. %D 2016 %V 83 %F Zhang2016 %0 Journal Article %T Multisoliton solutions of a (2 + 1)-dimensional variable-coefficient Toda lattice equation via Hirota’s bilinear method %A S. Zhang %A D. Liu %J Canad. J. Phys. %D 2014 %V 92 %F Zhang2014 %0 Journal Article %T The third kind of Darboux transformation and multisoliton solutions for generalized Broer-Kaup equations %A S. Zhang %A D.-D. Liu %J Turkish J. Phys. %D 2015 %V 39 %F Zhang2015 %0 Journal Article %T Bilinearization and new multisoliton solutions for the (4 + 1)-dimensional Fokas equation %A S. Zhang %A C. Tian %A W.-Y. Qian %J Pramana %D 2016 %V 86 %F Zhang2016 %0 Journal Article %T Variable-coefficient nonisospectral Toda lattice hierarchy and its exact solutions %A S. Zhang %A D. Wang %J Pramana %D 2015 %V 85 %F Zhang2015 %0 Journal Article %T A generalized F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equations %A S. Zhang %A T.-C. Xia %J Appl. Math. Comput. %D 2006 %V 183 %F Zhang2006 %0 Journal Article %T A generalized auxiliary equation method and its application to (2 + 1)-dimensional asymmetric Nizhnik-Novikov-Vesselov equations %A S. Zhang %A T.-C. Xia %J J. Phys. A %D 2007 %V 40 %F Zhang2007 %0 Journal Article %T Exact solutions of a KdV equation hierarchy with variable coefficients %A S. Zhang %A B. Xu %A H.-Q. Zhang %J Int. J. Comput. Math. %D 2014 %V 91 %F Zhang2014 %0 Journal Article %T An Exp-function method for a new N-soliton solutions with arbitrary functions of a (2 + 1)- dimensional vcBK system %A S. Zhang %A H.-Q. Zhang %J Comput. Math. Appl. %D 2011 %V 61 %F Zhang2011 %0 Journal Article %T Fractional sub-equation method and its applications to nonlinear fractional PDEs %A S. Zhang %A H.-Q. Zhang %J Phys. Lett. A %D 2011 %V 375 %F Zhang2011 %0 Journal Article %T Bilinearization and new multi-soliton solutions of mKdV hierarchy with time-dependent coefficients %A S. Zhang %A L.-Y. Zhang %J Open Phys. %D 2016 %V 14 %F Zhang2016