Solitary Wave Solutions of Nonlinear Evolution and ... - Inside Mines

0 downloads 0 Views 225KB Size Report
Implicit solutions, e.g. of the Harry Dym equation, have also been constructed by a straightforward generalization of the method (Hereman et al 1989, Banerjee ...
                          

               



               !   "#    $   %  $   && '     ()  #       # %*  ( +% #    % #  +% ,#  ) ( * -   - .     +% #  /     0   1 #     /   #    -

,# . 2/  (  #    3       /     / #     !2  )   + %    ) # .    % (    #       Æ 

      # (          #  .  ( *   + #  %   ,# )   )   #  (.     #  )  # ( / #   ( - $ 4 ,#   $#  *%   ,#   ( -

"  ,# .    

%   )  +% # % ) %      %   (  ,# 051 +  )  )     06&71.     / #    !2 #     (  )    )      % #   %)  )   #  ( . 5   8  922 2 5  9 !  29542     +       # ()          . 5   +     + (  ( # #    % * #  +% ,# +     Æ  )     . %+

 #   )  #  "   ) +- 06:1.  (    ) #  (  )    061 +   % (    % #  +% ,# )  #)  .   *  (  ! ;  /     +  /      #     %        (  ,#   )       % )          >  > *  +            =*  #   (     .  +%  ) %  % (     #      )+  #   /   # (   /  . 

5 67 +        + #    % # ,# +  #   % ( +% #        ,# . 5  3   9  0671 /      # (   3   

       %         .   +   # #*  # )  #      #  (       /      # # 0 (1 #        ,# . 5    $  0671 

    )            %+.  -   3  #     !2     #     /   # 0 1        ,# . 5 (#

  % )   #   3  #  $  +   #  

 +        # ( )+    /   +% .        / (    /   # #   *  + #  

    06? 6&1  )   ( + (    #  +% # )  $ > (   .   ()     ) #    #  +% #   #   0*  6 66) 1       #      0   ! ( 661. 5 #  .(.     ,#  %  )  # )  ( + ( -    0   66 @ A   661. 9   #   #  0   6&1  + ,#   Æ     + )    #       Æ  . 

/     #  01  )  %    + E    +  #     2 3       /   

# %      (  (    )    # .   E  # #   #     #  +  . "  / (  )       +    (.   L )%     0    1    #  % ( Æ H    .   +  # #  ( Æ  (%  0   6&1.   ¼ ¼

H

Æ 

0?1

  

9 ( ) 0?1   #   # +     #       Æ   .   E   )  +    #   () .    ( #  +  ) (   Æ     %#        )    (     +   +   % (     .  ,#      )  )  (  -   Æ     /    .   /    

 +     . !     +  +  ( +   # ,#  .    #    (   +    .   

       +    (#    0! %;    1.  #    )        ) #  ( #>  #    #   .  #    ) %        # )   +   )   (.  #    /        + ) 

(  )#   #.      ( + 

 ( 

 #  /    (. 5   ## +     ,# 0    661 +

 % #    )  #  .      

   / #            %+         .  + ,#  #  3    (#       - 3         + )   % (      )       #(    (# 0  1    .       (  )    ) B# % 

!  ; 0   6:  ? . 71.  3  (     3   

         (           )  #(  ,#)#    .     A      +   # * # #   0  (1I    )      * # #     . '

Suggest Documents